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Finding the Fourth Proportional to 8,469.87, 11,689.11 and 4,693.41

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Solution

The fourth proportional to 8,469.87, 11,689.11 and 4,693.41 is: 6,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.87 : 11,689.11 = 4,693.41 : x
  2. Step 2: Convert to fraction form
    8,469.87/11,689.11 = 4,693.41/x
  3. Step 3: Cross multiply
    8,469.87x = 11,689.11 × 4,693.41
  4. Step 4: Simplify right side
    8,469.87x = 54,861,785.77
  5. Step 5: Solve for x
    x = 54,861,785.77/8,469.87
  6. Step 6: Final answer
    x = 6,477.29

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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.