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Finding the Fourth Proportional to 8,524.81, 11,763.92 and 4,748.14

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Solution

The fourth proportional to 8,524.81, 11,763.92 and 4,748.14 is: 6,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.81 : 11,763.92 = 4,748.14 : x
  2. Step 2: Convert to fraction form
    8,524.81/11,763.92 = 4,748.14/x
  3. Step 3: Cross multiply
    8,524.81x = 11,763.92 × 4,748.14
  4. Step 4: Simplify right side
    8,524.81x = 55,856,672.80
  5. Step 5: Solve for x
    x = 55,856,672.80/8,524.81
  6. Step 6: Final answer
    x = 6,552.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.