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Finding the Fourth Proportional to 12,737.08, 17,576.20 and 7,147

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Solution

The fourth proportional to 12,737.08, 17,576.20 and 7,147 is: 9,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.08 : 17,576.20 = 7,147 : x
  2. Step 2: Convert to fraction form
    12,737.08/17,576.20 = 7,147/x
  3. Step 3: Cross multiply
    12,737.08x = 17,576.20 × 7,147
  4. Step 4: Simplify right side
    12,737.08x = 125,617,101.40
  5. Step 5: Solve for x
    x = 125,617,101.40/12,737.08
  6. Step 6: Final answer
    x = 9,862.32

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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.