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Finding the Fourth Proportional to 6,874.86, 9,487.15 and 4,041.69

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Solution

The fourth proportional to 6,874.86, 9,487.15 and 4,041.69 is: 5,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.86 : 9,487.15 = 4,041.69 : x
  2. Step 2: Convert to fraction form
    6,874.86/9,487.15 = 4,041.69/x
  3. Step 3: Cross multiply
    6,874.86x = 9,487.15 × 4,041.69
  4. Step 4: Simplify right side
    6,874.86x = 38,344,119.28
  5. Step 5: Solve for x
    x = 38,344,119.28/6,874.86
  6. Step 6: Final answer
    x = 5,577.44

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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.