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Finding the Fourth Proportional to 9,874.52, 14,811.76 and 3,299.20

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Solution

The fourth proportional to 9,874.52, 14,811.76 and 3,299.20 is: 4,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.52 : 14,811.76 = 3,299.20 : x
  2. Step 2: Convert to fraction form
    9,874.52/14,811.76 = 3,299.20/x
  3. Step 3: Cross multiply
    9,874.52x = 14,811.76 × 3,299.20
  4. Step 4: Simplify right side
    9,874.52x = 48,866,958.59
  5. Step 5: Solve for x
    x = 48,866,958.59/9,874.52
  6. Step 6: Final answer
    x = 4,948.79

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1.5x scale

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.