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Finding the Fourth Proportional to 6,237.95, 9,348.80 and 2,535.86

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Solution

The fourth proportional to 6,237.95, 9,348.80 and 2,535.86 is: 3,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.95 : 9,348.80 = 2,535.86 : x
  2. Step 2: Convert to fraction form
    6,237.95/9,348.80 = 2,535.86/x
  3. Step 3: Cross multiply
    6,237.95x = 9,348.80 × 2,535.86
  4. Step 4: Simplify right side
    6,237.95x = 23,707,247.97
  5. Step 5: Solve for x
    x = 23,707,247.97/6,237.95
  6. Step 6: Final answer
    x = 3,800.49

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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.