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Finding the Fourth Proportional to 6,500.06, 9,737.84 and 3,209.30

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Solution

The fourth proportional to 6,500.06, 9,737.84 and 3,209.30 is: 4,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.06 : 9,737.84 = 3,209.30 : x
  2. Step 2: Convert to fraction form
    6,500.06/9,737.84 = 3,209.30/x
  3. Step 3: Cross multiply
    6,500.06x = 9,737.84 × 3,209.30
  4. Step 4: Simplify right side
    6,500.06x = 31,251,649.91
  5. Step 5: Solve for x
    x = 31,251,649.91/6,500.06
  6. Step 6: Final answer
    x = 4,807.90

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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.