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Finding the Fourth Proportional to 6,471.71, 9,692.98 and 4,532.57

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Solution

The fourth proportional to 6,471.71, 9,692.98 and 4,532.57 is: 6,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.71 : 9,692.98 = 4,532.57 : x
  2. Step 2: Convert to fraction form
    6,471.71/9,692.98 = 4,532.57/x
  3. Step 3: Cross multiply
    6,471.71x = 9,692.98 × 4,532.57
  4. Step 4: Simplify right side
    6,471.71x = 43,934,110.36
  5. Step 5: Solve for x
    x = 43,934,110.36/6,471.71
  6. Step 6: Final answer
    x = 6,788.64

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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.