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Finding the Fourth Proportional to 7,230.48, 10,842.86 and 2,549.48

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Solution

The fourth proportional to 7,230.48, 10,842.86 and 2,549.48 is: 3,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.48 : 10,842.86 = 2,549.48 : x
  2. Step 2: Convert to fraction form
    7,230.48/10,842.86 = 2,549.48/x
  3. Step 3: Cross multiply
    7,230.48x = 10,842.86 × 2,549.48
  4. Step 4: Simplify right side
    7,230.48x = 27,643,654.71
  5. Step 5: Solve for x
    x = 27,643,654.71/7,230.48
  6. Step 6: Final answer
    x = 3,823.21

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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.