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Finding the Fourth Proportional to 8,470.77, 12,706.17 and 3,537.72

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Solution

The fourth proportional to 8,470.77, 12,706.17 and 3,537.72 is: 5,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.77 : 12,706.17 = 3,537.72 : x
  2. Step 2: Convert to fraction form
    8,470.77/12,706.17 = 3,537.72/x
  3. Step 3: Cross multiply
    8,470.77x = 12,706.17 × 3,537.72
  4. Step 4: Simplify right side
    8,470.77x = 44,950,871.73
  5. Step 5: Solve for x
    x = 44,950,871.73/8,470.77
  6. Step 6: Final answer
    x = 5,306.59

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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.