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Finding the Fourth Proportional to 16,658.70, 22,989 and 9,584.64

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Solution

The fourth proportional to 16,658.70, 22,989 and 9,584.64 is: 13,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658.70 : 22,989 = 9,584.64 : x
  2. Step 2: Convert to fraction form
    16,658.70/22,989 = 9,584.64/x
  3. Step 3: Cross multiply
    16,658.70x = 22,989 × 9,584.64
  4. Step 4: Simplify right side
    16,658.70x = 220,341,288.96
  5. Step 5: Solve for x
    x = 220,341,288.96/16,658.70
  6. Step 6: Final answer
    x = 13,226.80

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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.