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Finding the Fourth Proportional to 10,446.38, 14,416.02 and 6,197.69

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Solution

The fourth proportional to 10,446.38, 14,416.02 and 6,197.69 is: 8,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.38 : 14,416.02 = 6,197.69 : x
  2. Step 2: Convert to fraction form
    10,446.38/14,416.02 = 6,197.69/x
  3. Step 3: Cross multiply
    10,446.38x = 14,416.02 × 6,197.69
  4. Step 4: Simplify right side
    10,446.38x = 89,345,950.91
  5. Step 5: Solve for x
    x = 89,345,950.91/10,446.38
  6. Step 6: Final answer
    x = 8,552.82

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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.