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Finding the Fourth Proportional to 7,231.20, 9,978.48 and 4,246.80

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Solution

The fourth proportional to 7,231.20, 9,978.48 and 4,246.80 is: 5,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.20 : 9,978.48 = 4,246.80 : x
  2. Step 2: Convert to fraction form
    7,231.20/9,978.48 = 4,246.80/x
  3. Step 3: Cross multiply
    7,231.20x = 9,978.48 × 4,246.80
  4. Step 4: Simplify right side
    7,231.20x = 42,376,608.86
  5. Step 5: Solve for x
    x = 42,376,608.86/7,231.20
  6. Step 6: Final answer
    x = 5,860.25

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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.