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Finding the Fourth Proportional to 9,994, 13,778.90 and 8,194.85

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Solution

The fourth proportional to 9,994, 13,778.90 and 8,194.85 is: 11,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 13,778.90 = 8,194.85 : x
  2. Step 2: Convert to fraction form
    9,994/13,778.90 = 8,194.85/x
  3. Step 3: Cross multiply
    9,994x = 13,778.90 × 8,194.85
  4. Step 4: Simplify right side
    9,994x = 112,916,018.67
  5. Step 5: Solve for x
    x = 112,916,018.67/9,994
  6. Step 6: Final answer
    x = 11,298.38

Related Problems

Find fourth proportional to 4,997, 6,889.45 and 4,097.43
Half scale
Find fourth proportional to 19,988, 27,557.80 and 16,389.70
Double scale
Find fourth proportional to 9,995, 13,780.28 and 8,195.85
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.