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Finding the Fourth Proportional to 10,582.64, 15,874.09 and 7,294.85

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Solution

The fourth proportional to 10,582.64, 15,874.09 and 7,294.85 is: 10,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.64 : 15,874.09 = 7,294.85 : x
  2. Step 2: Convert to fraction form
    10,582.64/15,874.09 = 7,294.85/x
  3. Step 3: Cross multiply
    10,582.64x = 15,874.09 × 7,294.85
  4. Step 4: Simplify right side
    10,582.64x = 115,799,105.44
  5. Step 5: Solve for x
    x = 115,799,105.44/10,582.64
  6. Step 6: Final answer
    x = 10,942.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.