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Finding the Fourth Proportional to 6,475.67, 9,713.50 and 2,580.11

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Solution

The fourth proportional to 6,475.67, 9,713.50 and 2,580.11 is: 3,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.67 : 9,713.50 = 2,580.11 : x
  2. Step 2: Convert to fraction form
    6,475.67/9,713.50 = 2,580.11/x
  3. Step 3: Cross multiply
    6,475.67x = 9,713.50 × 2,580.11
  4. Step 4: Simplify right side
    6,475.67x = 25,061,843.47
  5. Step 5: Solve for x
    x = 25,061,843.47/6,475.67
  6. Step 6: Final answer
    x = 3,870.16

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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.