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Finding the Fourth Proportional to 7,614.44, 10,508 and 4,470.68

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Solution

The fourth proportional to 7,614.44, 10,508 and 4,470.68 is: 6,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.44 : 10,508 = 4,470.68 : x
  2. Step 2: Convert to fraction form
    7,614.44/10,508 = 4,470.68/x
  3. Step 3: Cross multiply
    7,614.44x = 10,508 × 4,470.68
  4. Step 4: Simplify right side
    7,614.44x = 46,977,905.44
  5. Step 5: Solve for x
    x = 46,977,905.44/7,614.44
  6. Step 6: Final answer
    x = 6,169.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.