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Finding the Fourth Proportional to 11,503.71, 15,882.48 and 7,531.56

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Solution

The fourth proportional to 11,503.71, 15,882.48 and 7,531.56 is: 10,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.71 : 15,882.48 = 7,531.56 : x
  2. Step 2: Convert to fraction form
    11,503.71/15,882.48 = 7,531.56/x
  3. Step 3: Cross multiply
    11,503.71x = 15,882.48 × 7,531.56
  4. Step 4: Simplify right side
    11,503.71x = 119,619,851.07
  5. Step 5: Solve for x
    x = 119,619,851.07/11,503.71
  6. Step 6: Final answer
    x = 10,398.37

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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.