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Finding the Fourth Proportional to 12,537.27, 17,301.78 and 6,948.27

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Solution

The fourth proportional to 12,537.27, 17,301.78 and 6,948.27 is: 9,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.27 : 17,301.78 = 6,948.27 : x
  2. Step 2: Convert to fraction form
    12,537.27/17,301.78 = 6,948.27/x
  3. Step 3: Cross multiply
    12,537.27x = 17,301.78 × 6,948.27
  4. Step 4: Simplify right side
    12,537.27x = 120,217,438.92
  5. Step 5: Solve for x
    x = 120,217,438.92/12,537.27
  6. Step 6: Final answer
    x = 9,588.81

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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.