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Finding the Fourth Proportional to 6,506.87, 9,762.13 and 2,614.01

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Solution

The fourth proportional to 6,506.87, 9,762.13 and 2,614.01 is: 3,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.87 : 9,762.13 = 2,614.01 : x
  2. Step 2: Convert to fraction form
    6,506.87/9,762.13 = 2,614.01/x
  3. Step 3: Cross multiply
    6,506.87x = 9,762.13 × 2,614.01
  4. Step 4: Simplify right side
    6,506.87x = 25,518,305.44
  5. Step 5: Solve for x
    x = 25,518,305.44/6,506.87
  6. Step 6: Final answer
    x = 3,921.75

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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.