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Finding the Fourth Proportional to 6,472,494.80, 9,700,966.20 and 2,684,027.60

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Solution

The fourth proportional to 6,472,494.80, 9,700,966.20 and 2,684,027.60 is: 4,022,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,494.80 : 9,700,966.20 = 2,684,027.60 : x
  2. Step 2: Convert to fraction form
    6,472,494.80/9,700,966.20 = 2,684,027.60/x
  3. Step 3: Cross multiply
    6,472,494.80x = 9,700,966.20 × 2,684,027.60
  4. Step 4: Simplify right side
    6,472,494.80x = 26,037,661,027,467.12
  5. Step 5: Solve for x
    x = 26,037,661,027,467.12/6,472,494.80
  6. Step 6: Final answer
    x = 4,022,816.83

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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.