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Finding the Fourth Proportional to 7,241.26, 9,992.98 and 4,098.10

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Solution

The fourth proportional to 7,241.26, 9,992.98 and 4,098.10 is: 5,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.26 : 9,992.98 = 4,098.10 : x
  2. Step 2: Convert to fraction form
    7,241.26/9,992.98 = 4,098.10/x
  3. Step 3: Cross multiply
    7,241.26x = 9,992.98 × 4,098.10
  4. Step 4: Simplify right side
    7,241.26x = 40,952,231.34
  5. Step 5: Solve for x
    x = 40,952,231.34/7,241.26
  6. Step 6: Final answer
    x = 5,655.40

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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.