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Finding the Fourth Proportional to 8,207.68, 12,315.12 and 4,311.20

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Solution

The fourth proportional to 8,207.68, 12,315.12 and 4,311.20 is: 6,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.68 : 12,315.12 = 4,311.20 : x
  2. Step 2: Convert to fraction form
    8,207.68/12,315.12 = 4,311.20/x
  3. Step 3: Cross multiply
    8,207.68x = 12,315.12 × 4,311.20
  4. Step 4: Simplify right side
    8,207.68x = 53,092,945.34
  5. Step 5: Solve for x
    x = 53,092,945.34/8,207.68
  6. Step 6: Final answer
    x = 6,468.69

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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.