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Finding the Fourth Proportional to 8,262.77, 12,394.17 and 5,808.57

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Solution

The fourth proportional to 8,262.77, 12,394.17 and 5,808.57 is: 8,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.77 : 12,394.17 = 5,808.57 : x
  2. Step 2: Convert to fraction form
    8,262.77/12,394.17 = 5,808.57/x
  3. Step 3: Cross multiply
    8,262.77x = 12,394.17 × 5,808.57
  4. Step 4: Simplify right side
    8,262.77x = 71,992,404.04
  5. Step 5: Solve for x
    x = 71,992,404.04/8,262.77
  6. Step 6: Final answer
    x = 8,712.87

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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.