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Finding the Fourth Proportional to 10,079.38, 15,051.14 and 8,234.14

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Solution

The fourth proportional to 10,079.38, 15,051.14 and 8,234.14 is: 12,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.38 : 15,051.14 = 8,234.14 : x
  2. Step 2: Convert to fraction form
    10,079.38/15,051.14 = 8,234.14/x
  3. Step 3: Cross multiply
    10,079.38x = 15,051.14 × 8,234.14
  4. Step 4: Simplify right side
    10,079.38x = 123,933,193.92
  5. Step 5: Solve for x
    x = 123,933,193.92/10,079.38
  6. Step 6: Final answer
    x = 12,295.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.