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Finding the Fourth Proportional to 16,285.52, 22,474.46 and 9,213

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Solution

The fourth proportional to 16,285.52, 22,474.46 and 9,213 is: 12,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.52 : 22,474.46 = 9,213 : x
  2. Step 2: Convert to fraction form
    16,285.52/22,474.46 = 9,213/x
  3. Step 3: Cross multiply
    16,285.52x = 22,474.46 × 9,213
  4. Step 4: Simplify right side
    16,285.52x = 207,057,199.98
  5. Step 5: Solve for x
    x = 207,057,199.98/16,285.52
  6. Step 6: Final answer
    x = 12,714.19

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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.