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Finding the Fourth Proportional to 9,782.22, 14,656.77 and 6,994.74

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Solution

The fourth proportional to 9,782.22, 14,656.77 and 6,994.74 is: 10,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.22 : 14,656.77 = 6,994.74 : x
  2. Step 2: Convert to fraction form
    9,782.22/14,656.77 = 6,994.74/x
  3. Step 3: Cross multiply
    9,782.22x = 14,656.77 × 6,994.74
  4. Step 4: Simplify right side
    9,782.22x = 102,520,295.39
  5. Step 5: Solve for x
    x = 102,520,295.39/9,782.22
  6. Step 6: Final answer
    x = 10,480.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.