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Finding the Fourth Proportional to 6,833.88, 9,435.48 and 5,237.76

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Solution

The fourth proportional to 6,833.88, 9,435.48 and 5,237.76 is: 7,231.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.88 : 9,435.48 = 5,237.76 : x
  2. Step 2: Convert to fraction form
    6,833.88/9,435.48 = 5,237.76/x
  3. Step 3: Cross multiply
    6,833.88x = 9,435.48 × 5,237.76
  4. Step 4: Simplify right side
    6,833.88x = 49,420,779.72
  5. Step 5: Solve for x
    x = 49,420,779.72/6,833.88
  6. Step 6: Final answer
    x = 7,231.73

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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.