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Finding the Fourth Proportional to 7,162.75, 9,884.60 and 4,019.01

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Solution

The fourth proportional to 7,162.75, 9,884.60 and 4,019.01 is: 5,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.75 : 9,884.60 = 4,019.01 : x
  2. Step 2: Convert to fraction form
    7,162.75/9,884.60 = 4,019.01/x
  3. Step 3: Cross multiply
    7,162.75x = 9,884.60 × 4,019.01
  4. Step 4: Simplify right side
    7,162.75x = 39,726,306.25
  5. Step 5: Solve for x
    x = 39,726,306.25/7,162.75
  6. Step 6: Final answer
    x = 5,546.24

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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.