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Finding the Fourth Proportional to 10,034.50, 15,018.17 and 9,901.74

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Solution

The fourth proportional to 10,034.50, 15,018.17 and 9,901.74 is: 14,819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.50 : 15,018.17 = 9,901.74 : x
  2. Step 2: Convert to fraction form
    10,034.50/15,018.17 = 9,901.74/x
  3. Step 3: Cross multiply
    10,034.50x = 15,018.17 × 9,901.74
  4. Step 4: Simplify right side
    10,034.50x = 148,706,014.62
  5. Step 5: Solve for x
    x = 148,706,014.62/10,034.50
  6. Step 6: Final answer
    x = 14,819.47

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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.