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Finding the Fourth Proportional to 6,692.49, 10,034.42 and 4,497.93

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Solution

The fourth proportional to 6,692.49, 10,034.42 and 4,497.93 is: 6,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.49 : 10,034.42 = 4,497.93 : x
  2. Step 2: Convert to fraction form
    6,692.49/10,034.42 = 4,497.93/x
  3. Step 3: Cross multiply
    6,692.49x = 10,034.42 × 4,497.93
  4. Step 4: Simplify right side
    6,692.49x = 45,134,096.26
  5. Step 5: Solve for x
    x = 45,134,096.26/6,692.49
  6. Step 6: Final answer
    x = 6,743.99

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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.