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Finding the Fourth Proportional to 6,833.96, 9,430.69 and 3,849.61

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Solution

The fourth proportional to 6,833.96, 9,430.69 and 3,849.61 is: 5,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.96 : 9,430.69 = 3,849.61 : x
  2. Step 2: Convert to fraction form
    6,833.96/9,430.69 = 3,849.61/x
  3. Step 3: Cross multiply
    6,833.96x = 9,430.69 × 3,849.61
  4. Step 4: Simplify right side
    6,833.96x = 36,304,478.53
  5. Step 5: Solve for x
    x = 36,304,478.53/6,833.96
  6. Step 6: Final answer
    x = 5,312.36

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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.