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Finding the Fourth Proportional to 7,806.92, 10,772.73 and 4,620.34

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Solution

The fourth proportional to 7,806.92, 10,772.73 and 4,620.34 is: 6,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.92 : 10,772.73 = 4,620.34 : x
  2. Step 2: Convert to fraction form
    7,806.92/10,772.73 = 4,620.34/x
  3. Step 3: Cross multiply
    7,806.92x = 10,772.73 × 4,620.34
  4. Step 4: Simplify right side
    7,806.92x = 49,773,648.40
  5. Step 5: Solve for x
    x = 49,773,648.40/7,806.92
  6. Step 6: Final answer
    x = 6,375.58

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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.