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Finding the Fourth Proportional to 6,766.56, 10,101.02 and 6,463.32

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Solution

The fourth proportional to 6,766.56, 10,101.02 and 6,463.32 is: 9,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.56 : 10,101.02 = 6,463.32 : x
  2. Step 2: Convert to fraction form
    6,766.56/10,101.02 = 6,463.32/x
  3. Step 3: Cross multiply
    6,766.56x = 10,101.02 × 6,463.32
  4. Step 4: Simplify right side
    6,766.56x = 65,286,092.27
  5. Step 5: Solve for x
    x = 65,286,092.27/6,766.56
  6. Step 6: Final answer
    x = 9,648.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.