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Finding the Fourth Proportional to 10,419.20, 14,379.64 and 6,642.50

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Solution

The fourth proportional to 10,419.20, 14,379.64 and 6,642.50 is: 9,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.20 : 14,379.64 = 6,642.50 : x
  2. Step 2: Convert to fraction form
    10,419.20/14,379.64 = 6,642.50/x
  3. Step 3: Cross multiply
    10,419.20x = 14,379.64 × 6,642.50
  4. Step 4: Simplify right side
    10,419.20x = 95,516,758.70
  5. Step 5: Solve for x
    x = 95,516,758.70/10,419.20
  6. Step 6: Final answer
    x = 9,167.38

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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.