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Finding the Fourth Proportional to 10,472.10, 14,451.14 and 5,992.68

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Solution

The fourth proportional to 10,472.10, 14,451.14 and 5,992.68 is: 8,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.10 : 14,451.14 = 5,992.68 : x
  2. Step 2: Convert to fraction form
    10,472.10/14,451.14 = 5,992.68/x
  3. Step 3: Cross multiply
    10,472.10x = 14,451.14 × 5,992.68
  4. Step 4: Simplify right side
    10,472.10x = 86,601,027.69
  5. Step 5: Solve for x
    x = 86,601,027.69/10,472.10
  6. Step 6: Final answer
    x = 8,269.69

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1.5x scale

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.