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Finding the Fourth Proportional to 6,455.70, 9,686.75 and 2,560.02

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Solution

The fourth proportional to 6,455.70, 9,686.75 and 2,560.02 is: 3,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,686.75 = 2,560.02 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,686.75 = 2,560.02/x
  3. Step 3: Cross multiply
    6,455.70x = 9,686.75 × 2,560.02
  4. Step 4: Simplify right side
    6,455.70x = 24,798,273.74
  5. Step 5: Solve for x
    x = 24,798,273.74/6,455.70
  6. Step 6: Final answer
    x = 3,841.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.