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Finding the Fourth Proportional to 12,593.64, 17,379.64 and 6,929.04

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Solution

The fourth proportional to 12,593.64, 17,379.64 and 6,929.04 is: 9,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.64 : 17,379.64 = 6,929.04 : x
  2. Step 2: Convert to fraction form
    12,593.64/17,379.64 = 6,929.04/x
  3. Step 3: Cross multiply
    12,593.64x = 17,379.64 × 6,929.04
  4. Step 4: Simplify right side
    12,593.64x = 120,424,220.75
  5. Step 5: Solve for x
    x = 120,424,220.75/12,593.64
  6. Step 6: Final answer
    x = 9,562.30

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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.