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Finding the Fourth Proportional to 8,221.52, 12,320.12 and 4,314.08

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Solution

The fourth proportional to 8,221.52, 12,320.12 and 4,314.08 is: 6,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.52 : 12,320.12 = 4,314.08 : x
  2. Step 2: Convert to fraction form
    8,221.52/12,320.12 = 4,314.08/x
  3. Step 3: Cross multiply
    8,221.52x = 12,320.12 × 4,314.08
  4. Step 4: Simplify right side
    8,221.52x = 53,149,983.29
  5. Step 5: Solve for x
    x = 53,149,983.29/8,221.52
  6. Step 6: Final answer
    x = 6,464.74

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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.