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Finding the Fourth Proportional to 7,231.75, 9,980.43 and 4,581.24

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Solution

The fourth proportional to 7,231.75, 9,980.43 and 4,581.24 is: 6,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.75 : 9,980.43 = 4,581.24 : x
  2. Step 2: Convert to fraction form
    7,231.75/9,980.43 = 4,581.24/x
  3. Step 3: Cross multiply
    7,231.75x = 9,980.43 × 4,581.24
  4. Step 4: Simplify right side
    7,231.75x = 45,722,745.13
  5. Step 5: Solve for x
    x = 45,722,745.13/7,231.75
  6. Step 6: Final answer
    x = 6,322.50

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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.