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Finding the Fourth Proportional to 6,656.80, 9,982.32 and 2,037.28

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Solution

The fourth proportional to 6,656.80, 9,982.32 and 2,037.28 is: 3,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.80 : 9,982.32 = 2,037.28 : x
  2. Step 2: Convert to fraction form
    6,656.80/9,982.32 = 2,037.28/x
  3. Step 3: Cross multiply
    6,656.80x = 9,982.32 × 2,037.28
  4. Step 4: Simplify right side
    6,656.80x = 20,336,780.89
  5. Step 5: Solve for x
    x = 20,336,780.89/6,656.80
  6. Step 6: Final answer
    x = 3,055.04

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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.