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Finding the Fourth Proportional to 9,684.30, 14,489.79 and 5,737.68

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Solution

The fourth proportional to 9,684.30, 14,489.79 and 5,737.68 is: 8,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.30 : 14,489.79 = 5,737.68 : x
  2. Step 2: Convert to fraction form
    9,684.30/14,489.79 = 5,737.68/x
  3. Step 3: Cross multiply
    9,684.30x = 14,489.79 × 5,737.68
  4. Step 4: Simplify right side
    9,684.30x = 83,137,778.29
  5. Step 5: Solve for x
    x = 83,137,778.29/9,684.30
  6. Step 6: Final answer
    x = 8,584.80

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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.