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Finding the Fourth Proportional to 10,395.66, 14,350.72 and 6,624

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Solution

The fourth proportional to 10,395.66, 14,350.72 and 6,624 is: 9,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.66 : 14,350.72 = 6,624 : x
  2. Step 2: Convert to fraction form
    10,395.66/14,350.72 = 6,624/x
  3. Step 3: Cross multiply
    10,395.66x = 14,350.72 × 6,624
  4. Step 4: Simplify right side
    10,395.66x = 95,059,169.28
  5. Step 5: Solve for x
    x = 95,059,169.28/10,395.66
  6. Step 6: Final answer
    x = 9,144.12

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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.