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Finding the Fourth Proportional to 7,241.62, 10,862.22 and 2,047.48

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Solution

The fourth proportional to 7,241.62, 10,862.22 and 2,047.48 is: 3,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.62 : 10,862.22 = 2,047.48 : x
  2. Step 2: Convert to fraction form
    7,241.62/10,862.22 = 2,047.48/x
  3. Step 3: Cross multiply
    7,241.62x = 10,862.22 × 2,047.48
  4. Step 4: Simplify right side
    7,241.62x = 22,240,178.21
  5. Step 5: Solve for x
    x = 22,240,178.21/7,241.62
  6. Step 6: Final answer
    x = 3,071.16

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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.