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Finding the Fourth Proportional to 4,673.68, 6,457.86 and 3,737.20

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Solution

The fourth proportional to 4,673.68, 6,457.86 and 3,737.20 is: 5,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.68 : 6,457.86 = 3,737.20 : x
  2. Step 2: Convert to fraction form
    4,673.68/6,457.86 = 3,737.20/x
  3. Step 3: Cross multiply
    4,673.68x = 6,457.86 × 3,737.20
  4. Step 4: Simplify right side
    4,673.68x = 24,134,314.39
  5. Step 5: Solve for x
    x = 24,134,314.39/4,673.68
  6. Step 6: Final answer
    x = 5,163.88

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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.