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Finding the Fourth Proportional to 10,778.48, 16,167.79 and 3,758.48

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Solution

The fourth proportional to 10,778.48, 16,167.79 and 3,758.48 is: 5,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.48 : 16,167.79 = 3,758.48 : x
  2. Step 2: Convert to fraction form
    10,778.48/16,167.79 = 3,758.48/x
  3. Step 3: Cross multiply
    10,778.48x = 16,167.79 × 3,758.48
  4. Step 4: Simplify right side
    10,778.48x = 60,766,264.95
  5. Step 5: Solve for x
    x = 60,766,264.95/10,778.48
  6. Step 6: Final answer
    x = 5,637.74

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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.