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Finding the Fourth Proportional to 10,491.47, 15,738.26 and 3,471.50

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Solution

The fourth proportional to 10,491.47, 15,738.26 and 3,471.50 is: 5,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.47 : 15,738.26 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    10,491.47/15,738.26 = 3,471.50/x
  3. Step 3: Cross multiply
    10,491.47x = 15,738.26 × 3,471.50
  4. Step 4: Simplify right side
    10,491.47x = 54,635,369.59
  5. Step 5: Solve for x
    x = 54,635,369.59/10,491.47
  6. Step 6: Final answer
    x = 5,207.60

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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.