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Finding the Fourth Proportional to 16,149, 22,285.98 and 9,864.84

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Solution

The fourth proportional to 16,149, 22,285.98 and 9,864.84 is: 13,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149 : 22,285.98 = 9,864.84 : x
  2. Step 2: Convert to fraction form
    16,149/22,285.98 = 9,864.84/x
  3. Step 3: Cross multiply
    16,149x = 22,285.98 × 9,864.84
  4. Step 4: Simplify right side
    16,149x = 219,847,626.94
  5. Step 5: Solve for x
    x = 219,847,626.94/16,149
  6. Step 6: Final answer
    x = 13,613.70

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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.