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Finding the Fourth Proportional to 4,737.53, 6,546.48 and 4,509.92

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Solution

The fourth proportional to 4,737.53, 6,546.48 and 4,509.92 is: 6,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.53 : 6,546.48 = 4,509.92 : x
  2. Step 2: Convert to fraction form
    4,737.53/6,546.48 = 4,509.92/x
  3. Step 3: Cross multiply
    4,737.53x = 6,546.48 × 4,509.92
  4. Step 4: Simplify right side
    4,737.53x = 29,524,101.08
  5. Step 5: Solve for x
    x = 29,524,101.08/4,737.53
  6. Step 6: Final answer
    x = 6,231.96

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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.