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Finding the Fourth Proportional to 6,758.88, 10,123.92 and 3,835.68

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Solution

The fourth proportional to 6,758.88, 10,123.92 and 3,835.68 is: 5,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.88 : 10,123.92 = 3,835.68 : x
  2. Step 2: Convert to fraction form
    6,758.88/10,123.92 = 3,835.68/x
  3. Step 3: Cross multiply
    6,758.88x = 10,123.92 × 3,835.68
  4. Step 4: Simplify right side
    6,758.88x = 38,832,117.47
  5. Step 5: Solve for x
    x = 38,832,117.47/6,758.88
  6. Step 6: Final answer
    x = 5,745.35

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1.5x scale

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.