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Finding the Fourth Proportional to 12,057.18, 16,644.87 and 9,201.12

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Solution

The fourth proportional to 12,057.18, 16,644.87 and 9,201.12 is: 12,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.18 : 16,644.87 = 9,201.12 : x
  2. Step 2: Convert to fraction form
    12,057.18/16,644.87 = 9,201.12/x
  3. Step 3: Cross multiply
    12,057.18x = 16,644.87 × 9,201.12
  4. Step 4: Simplify right side
    12,057.18x = 153,151,446.25
  5. Step 5: Solve for x
    x = 153,151,446.25/12,057.18
  6. Step 6: Final answer
    x = 12,702.10

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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.