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Finding the Fourth Proportional to 11,230.70, 15,498.08 and 6,194.90

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Solution

The fourth proportional to 11,230.70, 15,498.08 and 6,194.90 is: 8,548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.70 : 15,498.08 = 6,194.90 : x
  2. Step 2: Convert to fraction form
    11,230.70/15,498.08 = 6,194.90/x
  3. Step 3: Cross multiply
    11,230.70x = 15,498.08 × 6,194.90
  4. Step 4: Simplify right side
    11,230.70x = 96,009,055.79
  5. Step 5: Solve for x
    x = 96,009,055.79/11,230.70
  6. Step 6: Final answer
    x = 8,548.80

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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.