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Finding the Fourth Proportional to 6,833.57, 9,430.49 and 4,182.44

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Solution

The fourth proportional to 6,833.57, 9,430.49 and 4,182.44 is: 5,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.57 : 9,430.49 = 4,182.44 : x
  2. Step 2: Convert to fraction form
    6,833.57/9,430.49 = 4,182.44/x
  3. Step 3: Cross multiply
    6,833.57x = 9,430.49 × 4,182.44
  4. Step 4: Simplify right side
    6,833.57x = 39,442,421.90
  5. Step 5: Solve for x
    x = 39,442,421.90/6,833.57
  6. Step 6: Final answer
    x = 5,771.87

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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.