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Finding the Fourth Proportional to 6,157.70, 9,233.85 and 2,458.70

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Solution

The fourth proportional to 6,157.70, 9,233.85 and 2,458.70 is: 3,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.70 : 9,233.85 = 2,458.70 : x
  2. Step 2: Convert to fraction form
    6,157.70/9,233.85 = 2,458.70/x
  3. Step 3: Cross multiply
    6,157.70x = 9,233.85 × 2,458.70
  4. Step 4: Simplify right side
    6,157.70x = 22,703,267.00
  5. Step 5: Solve for x
    x = 22,703,267.00/6,157.70
  6. Step 6: Final answer
    x = 3,686.97

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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.