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Finding the Fourth Proportional to 6,447.38, 8,902.41 and 4,952.93

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Solution

The fourth proportional to 6,447.38, 8,902.41 and 4,952.93 is: 6,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.38 : 8,902.41 = 4,952.93 : x
  2. Step 2: Convert to fraction form
    6,447.38/8,902.41 = 4,952.93/x
  3. Step 3: Cross multiply
    6,447.38x = 8,902.41 × 4,952.93
  4. Step 4: Simplify right side
    6,447.38x = 44,093,013.56
  5. Step 5: Solve for x
    x = 44,093,013.56/6,447.38
  6. Step 6: Final answer
    x = 6,838.90

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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.