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Finding the Fourth Proportional to 6,554.92, 9,824.17 and 5,162.75

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Solution

The fourth proportional to 6,554.92, 9,824.17 and 5,162.75 is: 7,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.92 : 9,824.17 = 5,162.75 : x
  2. Step 2: Convert to fraction form
    6,554.92/9,824.17 = 5,162.75/x
  3. Step 3: Cross multiply
    6,554.92x = 9,824.17 × 5,162.75
  4. Step 4: Simplify right side
    6,554.92x = 50,719,745.32
  5. Step 5: Solve for x
    x = 50,719,745.32/6,554.92
  6. Step 6: Final answer
    x = 7,737.66

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1.5x scale

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.