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Finding the Fourth Proportional to 6,535.61, 9,797.64 and 2,374.64

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Solution

The fourth proportional to 6,535.61, 9,797.64 and 2,374.64 is: 3,559.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.61 : 9,797.64 = 2,374.64 : x
  2. Step 2: Convert to fraction form
    6,535.61/9,797.64 = 2,374.64/x
  3. Step 3: Cross multiply
    6,535.61x = 9,797.64 × 2,374.64
  4. Step 4: Simplify right side
    6,535.61x = 23,265,867.85
  5. Step 5: Solve for x
    x = 23,265,867.85/6,535.61
  6. Step 6: Final answer
    x = 3,559.86

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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.