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Finding the Fourth Proportional to 6,833.68, 9,430.89 and 4,181.61

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Solution

The fourth proportional to 6,833.68, 9,430.89 and 4,181.61 is: 5,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.68 : 9,430.89 = 4,181.61 : x
  2. Step 2: Convert to fraction form
    6,833.68/9,430.89 = 4,181.61/x
  3. Step 3: Cross multiply
    6,833.68x = 9,430.89 × 4,181.61
  4. Step 4: Simplify right side
    6,833.68x = 39,436,280.36
  5. Step 5: Solve for x
    x = 39,436,280.36/6,833.68
  6. Step 6: Final answer
    x = 5,770.87

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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.