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Finding the Fourth Proportional to 10,314.68, 15,470.20 and 4,767.56

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Solution

The fourth proportional to 10,314.68, 15,470.20 and 4,767.56 is: 7,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.68 : 15,470.20 = 4,767.56 : x
  2. Step 2: Convert to fraction form
    10,314.68/15,470.20 = 4,767.56/x
  3. Step 3: Cross multiply
    10,314.68x = 15,470.20 × 4,767.56
  4. Step 4: Simplify right side
    10,314.68x = 73,755,106.71
  5. Step 5: Solve for x
    x = 73,755,106.71/10,314.68
  6. Step 6: Final answer
    x = 7,150.50

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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.