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Finding the Fourth Proportional to 6,535.32, 9,797.48 and 2,834.77

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Solution

The fourth proportional to 6,535.32, 9,797.48 and 2,834.77 is: 4,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.32 : 9,797.48 = 2,834.77 : x
  2. Step 2: Convert to fraction form
    6,535.32/9,797.48 = 2,834.77/x
  3. Step 3: Cross multiply
    6,535.32x = 9,797.48 × 2,834.77
  4. Step 4: Simplify right side
    6,535.32x = 27,773,545.34
  5. Step 5: Solve for x
    x = 27,773,545.34/6,535.32
  6. Step 6: Final answer
    x = 4,249.76

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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.