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Finding the Fourth Proportional to 7,614.16, 11,404 and 4,098.04

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Solution

The fourth proportional to 7,614.16, 11,404 and 4,098.04 is: 6,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.16 : 11,404 = 4,098.04 : x
  2. Step 2: Convert to fraction form
    7,614.16/11,404 = 4,098.04/x
  3. Step 3: Cross multiply
    7,614.16x = 11,404 × 4,098.04
  4. Step 4: Simplify right side
    7,614.16x = 46,734,048.16
  5. Step 5: Solve for x
    x = 46,734,048.16/7,614.16
  6. Step 6: Final answer
    x = 6,137.78

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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.