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Finding the Fourth Proportional to 14,491.38, 21,732.42 and 7,470.46

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Solution

The fourth proportional to 14,491.38, 21,732.42 and 7,470.46 is: 11,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.38 : 21,732.42 = 7,470.46 : x
  2. Step 2: Convert to fraction form
    14,491.38/21,732.42 = 7,470.46/x
  3. Step 3: Cross multiply
    14,491.38x = 21,732.42 × 7,470.46
  4. Step 4: Simplify right side
    14,491.38x = 162,351,174.31
  5. Step 5: Solve for x
    x = 162,351,174.31/14,491.38
  6. Step 6: Final answer
    x = 11,203.29

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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.