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Finding the Fourth Proportional to 6,174, 9,264.78 and 2,475.84

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Solution

The fourth proportional to 6,174, 9,264.78 and 2,475.84 is: 3,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 9,264.78 = 2,475.84 : x
  2. Step 2: Convert to fraction form
    6,174/9,264.78 = 2,475.84/x
  3. Step 3: Cross multiply
    6,174x = 9,264.78 × 2,475.84
  4. Step 4: Simplify right side
    6,174x = 22,938,112.92
  5. Step 5: Solve for x
    x = 22,938,112.92/6,174
  6. Step 6: Final answer
    x = 3,715.28

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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.