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Finding the Fourth Proportional to 12,302.80, 18,454.20 and 6,458.65

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Solution

The fourth proportional to 12,302.80, 18,454.20 and 6,458.65 is: 9,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.80 : 18,454.20 = 6,458.65 : x
  2. Step 2: Convert to fraction form
    12,302.80/18,454.20 = 6,458.65/x
  3. Step 3: Cross multiply
    12,302.80x = 18,454.20 × 6,458.65
  4. Step 4: Simplify right side
    12,302.80x = 119,189,218.83
  5. Step 5: Solve for x
    x = 119,189,218.83/12,302.80
  6. Step 6: Final answer
    x = 9,687.98

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Similar ratio
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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.