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Finding the Fourth Proportional to 6,474.81, 9,714.03 and 2,579.52

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Solution

The fourth proportional to 6,474.81, 9,714.03 and 2,579.52 is: 3,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.81 : 9,714.03 = 2,579.52 : x
  2. Step 2: Convert to fraction form
    6,474.81/9,714.03 = 2,579.52/x
  3. Step 3: Cross multiply
    6,474.81x = 9,714.03 × 2,579.52
  4. Step 4: Simplify right side
    6,474.81x = 25,057,534.67
  5. Step 5: Solve for x
    x = 25,057,534.67/6,474.81
  6. Step 6: Final answer
    x = 3,870.00

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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.