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Finding the Fourth Proportional to 8,294, 12,441 and 2,454.71

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Solution

The fourth proportional to 8,294, 12,441 and 2,454.71 is: 3,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 12,441 = 2,454.71 : x
  2. Step 2: Convert to fraction form
    8,294/12,441 = 2,454.71/x
  3. Step 3: Cross multiply
    8,294x = 12,441 × 2,454.71
  4. Step 4: Simplify right side
    8,294x = 30,539,047.11
  5. Step 5: Solve for x
    x = 30,539,047.11/8,294
  6. Step 6: Final answer
    x = 3,682.07

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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.