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Finding the Fourth Proportional to 6,692.66, 9,237.40 and 4,454.62

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Solution

The fourth proportional to 6,692.66, 9,237.40 and 4,454.62 is: 6,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.66 : 9,237.40 = 4,454.62 : x
  2. Step 2: Convert to fraction form
    6,692.66/9,237.40 = 4,454.62/x
  3. Step 3: Cross multiply
    6,692.66x = 9,237.40 × 4,454.62
  4. Step 4: Simplify right side
    6,692.66x = 41,149,106.79
  5. Step 5: Solve for x
    x = 41,149,106.79/6,692.66
  6. Step 6: Final answer
    x = 6,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.