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Finding the Fourth Proportional to 6,584.32, 9,871.32 and 3,295.76

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Solution

The fourth proportional to 6,584.32, 9,871.32 and 3,295.76 is: 4,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.32 : 9,871.32 = 3,295.76 : x
  2. Step 2: Convert to fraction form
    6,584.32/9,871.32 = 3,295.76/x
  3. Step 3: Cross multiply
    6,584.32x = 9,871.32 × 3,295.76
  4. Step 4: Simplify right side
    6,584.32x = 32,533,501.60
  5. Step 5: Solve for x
    x = 32,533,501.60/6,584.32
  6. Step 6: Final answer
    x = 4,941.06

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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.