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Finding the Fourth Proportional to 7,174.50, 9,901.07 and 3,987.96

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Solution

The fourth proportional to 7,174.50, 9,901.07 and 3,987.96 is: 5,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.50 : 9,901.07 = 3,987.96 : x
  2. Step 2: Convert to fraction form
    7,174.50/9,901.07 = 3,987.96/x
  3. Step 3: Cross multiply
    7,174.50x = 9,901.07 × 3,987.96
  4. Step 4: Simplify right side
    7,174.50x = 39,485,071.12
  5. Step 5: Solve for x
    x = 39,485,071.12/7,174.50
  6. Step 6: Final answer
    x = 5,503.53

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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.