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Finding the Fourth Proportional to 6,692.60, 10,034.90 and 4,097.40

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Solution

The fourth proportional to 6,692.60, 10,034.90 and 4,097.40 is: 6,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.60 : 10,034.90 = 4,097.40 : x
  2. Step 2: Convert to fraction form
    6,692.60/10,034.90 = 4,097.40/x
  3. Step 3: Cross multiply
    6,692.60x = 10,034.90 × 4,097.40
  4. Step 4: Simplify right side
    6,692.60x = 41,116,999.26
  5. Step 5: Solve for x
    x = 41,116,999.26/6,692.60
  6. Step 6: Final answer
    x = 6,143.65

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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.