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Finding the Fourth Proportional to 6,474.17, 9,713.30 and 2,314.08

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Solution

The fourth proportional to 6,474.17, 9,713.30 and 2,314.08 is: 3,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.17 : 9,713.30 = 2,314.08 : x
  2. Step 2: Convert to fraction form
    6,474.17/9,713.30 = 2,314.08/x
  3. Step 3: Cross multiply
    6,474.17x = 9,713.30 × 2,314.08
  4. Step 4: Simplify right side
    6,474.17x = 22,477,341.69
  5. Step 5: Solve for x
    x = 22,477,341.69/6,474.17
  6. Step 6: Final answer
    x = 3,471.85

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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.