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Finding the Fourth Proportional to 6,524.85, 9,787.29 and 1,594.50

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Solution

The fourth proportional to 6,524.85, 9,787.29 and 1,594.50 is: 2,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.85 : 9,787.29 = 1,594.50 : x
  2. Step 2: Convert to fraction form
    6,524.85/9,787.29 = 1,594.50/x
  3. Step 3: Cross multiply
    6,524.85x = 9,787.29 × 1,594.50
  4. Step 4: Simplify right side
    6,524.85x = 15,605,833.91
  5. Step 5: Solve for x
    x = 15,605,833.91/6,524.85
  6. Step 6: Final answer
    x = 2,391.75

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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.