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Finding the Fourth Proportional to 8,241.13, 11,373.71 and 7,982.74

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Solution

The fourth proportional to 8,241.13, 11,373.71 and 7,982.74 is: 11,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.13 : 11,373.71 = 7,982.74 : x
  2. Step 2: Convert to fraction form
    8,241.13/11,373.71 = 7,982.74/x
  3. Step 3: Cross multiply
    8,241.13x = 11,373.71 × 7,982.74
  4. Step 4: Simplify right side
    8,241.13x = 90,793,369.77
  5. Step 5: Solve for x
    x = 90,793,369.77/8,241.13
  6. Step 6: Final answer
    x = 11,017.10

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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.