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Finding the Fourth Proportional to 12,125.92, 16,729.86 and 7,344.34

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Solution

The fourth proportional to 12,125.92, 16,729.86 and 7,344.34 is: 10,132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.92 : 16,729.86 = 7,344.34 : x
  2. Step 2: Convert to fraction form
    12,125.92/16,729.86 = 7,344.34/x
  3. Step 3: Cross multiply
    12,125.92x = 16,729.86 × 7,344.34
  4. Step 4: Simplify right side
    12,125.92x = 122,869,779.99
  5. Step 5: Solve for x
    x = 122,869,779.99/12,125.92
  6. Step 6: Final answer
    x = 10,132.82

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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.