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Finding the Fourth Proportional to 12,537.68, 17,302.56 and 6,948.68

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Solution

The fourth proportional to 12,537.68, 17,302.56 and 6,948.68 is: 9,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.68 : 17,302.56 = 6,948.68 : x
  2. Step 2: Convert to fraction form
    12,537.68/17,302.56 = 6,948.68/x
  3. Step 3: Cross multiply
    12,537.68x = 17,302.56 × 6,948.68
  4. Step 4: Simplify right side
    12,537.68x = 120,229,952.62
  5. Step 5: Solve for x
    x = 120,229,952.62/12,537.68
  6. Step 6: Final answer
    x = 9,589.49

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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.