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Finding the Fourth Proportional to 4,737.68, 6,538.20 and 2,748.68

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Solution

The fourth proportional to 4,737.68, 6,538.20 and 2,748.68 is: 3,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.68 : 6,538.20 = 2,748.68 : x
  2. Step 2: Convert to fraction form
    4,737.68/6,538.20 = 2,748.68/x
  3. Step 3: Cross multiply
    4,737.68x = 6,538.20 × 2,748.68
  4. Step 4: Simplify right side
    4,737.68x = 17,971,419.58
  5. Step 5: Solve for x
    x = 17,971,419.58/4,737.68
  6. Step 6: Final answer
    x = 3,793.30

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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.