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Finding the Fourth Proportional to 4,892.67, 6,747.43 and 4,138.03

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Solution

The fourth proportional to 4,892.67, 6,747.43 and 4,138.03 is: 5,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.67 : 6,747.43 = 4,138.03 : x
  2. Step 2: Convert to fraction form
    4,892.67/6,747.43 = 4,138.03/x
  3. Step 3: Cross multiply
    4,892.67x = 6,747.43 × 4,138.03
  4. Step 4: Simplify right side
    4,892.67x = 27,921,047.07
  5. Step 5: Solve for x
    x = 27,921,047.07/4,892.67
  6. Step 6: Final answer
    x = 5,706.72

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1.5x scale

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.