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Finding the Fourth Proportional to 6,449.61, 9,674.86 and 2,554

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Solution

The fourth proportional to 6,449.61, 9,674.86 and 2,554 is: 3,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.61 : 9,674.86 = 2,554 : x
  2. Step 2: Convert to fraction form
    6,449.61/9,674.86 = 2,554/x
  3. Step 3: Cross multiply
    6,449.61x = 9,674.86 × 2,554
  4. Step 4: Simplify right side
    6,449.61x = 24,709,586.06
  5. Step 5: Solve for x
    x = 24,709,586.06/6,449.61
  6. Step 6: Final answer
    x = 3,831.18

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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.