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Finding the Fourth Proportional to 5,000.05, 7,500.08 and 1,301.97

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Solution

The fourth proportional to 5,000.05, 7,500.08 and 1,301.97 is: 1,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.05 : 7,500.08 = 1,301.97 : x
  2. Step 2: Convert to fraction form
    5,000.05/7,500.08 = 1,301.97/x
  3. Step 3: Cross multiply
    5,000.05x = 7,500.08 × 1,301.97
  4. Step 4: Simplify right side
    5,000.05x = 9,764,879.16
  5. Step 5: Solve for x
    x = 9,764,879.16/5,000.05
  6. Step 6: Final answer
    x = 1,952.96

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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.