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Finding the Fourth Proportional to 11,572.20, 15,971.88 and 7,593.18

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Solution

The fourth proportional to 11,572.20, 15,971.88 and 7,593.18 is: 10,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.20 : 15,971.88 = 7,593.18 : x
  2. Step 2: Convert to fraction form
    11,572.20/15,971.88 = 7,593.18/x
  3. Step 3: Cross multiply
    11,572.20x = 15,971.88 × 7,593.18
  4. Step 4: Simplify right side
    11,572.20x = 121,277,359.78
  5. Step 5: Solve for x
    x = 121,277,359.78/11,572.20
  6. Step 6: Final answer
    x = 10,480.06

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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.