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Finding the Fourth Proportional to 15,234.08, 22,855.77 and 7,234.92

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Solution

The fourth proportional to 15,234.08, 22,855.77 and 7,234.92 is: 10,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,234.08 : 22,855.77 = 7,234.92 : x
  2. Step 2: Convert to fraction form
    15,234.08/22,855.77 = 7,234.92/x
  3. Step 3: Cross multiply
    15,234.08x = 22,855.77 × 7,234.92
  4. Step 4: Simplify right side
    15,234.08x = 165,359,667.49
  5. Step 5: Solve for x
    x = 165,359,667.49/15,234.08
  6. Step 6: Final answer
    x = 10,854.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.