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Finding the Fourth Proportional to 8,523.72, 12,774.80 and 3,838.74

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Solution

The fourth proportional to 8,523.72, 12,774.80 and 3,838.74 is: 5,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.72 : 12,774.80 = 3,838.74 : x
  2. Step 2: Convert to fraction form
    8,523.72/12,774.80 = 3,838.74/x
  3. Step 3: Cross multiply
    8,523.72x = 12,774.80 × 3,838.74
  4. Step 4: Simplify right side
    8,523.72x = 49,039,135.75
  5. Step 5: Solve for x
    x = 49,039,135.75/8,523.72
  6. Step 6: Final answer
    x = 5,753.26

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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.