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Finding the Fourth Proportional to 25,835.92, 38,753.71 and 8,305.79

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Solution

The fourth proportional to 25,835.92, 38,753.71 and 8,305.79 is: 12,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.92 : 38,753.71 = 8,305.79 : x
  2. Step 2: Convert to fraction form
    25,835.92/38,753.71 = 8,305.79/x
  3. Step 3: Cross multiply
    25,835.92x = 38,753.71 × 8,305.79
  4. Step 4: Simplify right side
    25,835.92x = 321,879,962.45
  5. Step 5: Solve for x
    x = 321,879,962.45/25,835.92
  6. Step 6: Final answer
    x = 12,458.62

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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.