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Finding the Fourth Proportional to 15,187.80, 22,781.70 and 7,411.80

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Solution

The fourth proportional to 15,187.80, 22,781.70 and 7,411.80 is: 11,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.80 : 22,781.70 = 7,411.80 : x
  2. Step 2: Convert to fraction form
    15,187.80/22,781.70 = 7,411.80/x
  3. Step 3: Cross multiply
    15,187.80x = 22,781.70 × 7,411.80
  4. Step 4: Simplify right side
    15,187.80x = 168,853,404.06
  5. Step 5: Solve for x
    x = 168,853,404.06/15,187.80
  6. Step 6: Final answer
    x = 11,117.70

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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.