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Finding the Fourth Proportional to 4,157.92, 6,235.16 and 1,691.07

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Solution

The fourth proportional to 4,157.92, 6,235.16 and 1,691.07 is: 2,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.92 : 6,235.16 = 1,691.07 : x
  2. Step 2: Convert to fraction form
    4,157.92/6,235.16 = 1,691.07/x
  3. Step 3: Cross multiply
    4,157.92x = 6,235.16 × 1,691.07
  4. Step 4: Simplify right side
    4,157.92x = 10,544,092.02
  5. Step 5: Solve for x
    x = 10,544,092.02/4,157.92
  6. Step 6: Final answer
    x = 2,535.91

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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.