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Finding the Fourth Proportional to 8,087, 11,161.14 and 5,294.12

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Solution

The fourth proportional to 8,087, 11,161.14 and 5,294.12 is: 7,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087 : 11,161.14 = 5,294.12 : x
  2. Step 2: Convert to fraction form
    8,087/11,161.14 = 5,294.12/x
  3. Step 3: Cross multiply
    8,087x = 11,161.14 × 5,294.12
  4. Step 4: Simplify right side
    8,087x = 59,088,414.50
  5. Step 5: Solve for x
    x = 59,088,414.50/8,087
  6. Step 6: Final answer
    x = 7,306.59

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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.