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Finding the Fourth Proportional to 6,169.34, 9,254.10 and 2,882

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Solution

The fourth proportional to 6,169.34, 9,254.10 and 2,882 is: 4,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.34 : 9,254.10 = 2,882 : x
  2. Step 2: Convert to fraction form
    6,169.34/9,254.10 = 2,882/x
  3. Step 3: Cross multiply
    6,169.34x = 9,254.10 × 2,882
  4. Step 4: Simplify right side
    6,169.34x = 26,670,316.20
  5. Step 5: Solve for x
    x = 26,670,316.20/6,169.34
  6. Step 6: Final answer
    x = 4,323.04

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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.