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Finding the Fourth Proportional to 6,780.96, 10,160.08 and 6,524.96

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Solution

The fourth proportional to 6,780.96, 10,160.08 and 6,524.96 is: 9,776.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.96 : 10,160.08 = 6,524.96 : x
  2. Step 2: Convert to fraction form
    6,780.96/10,160.08 = 6,524.96/x
  3. Step 3: Cross multiply
    6,780.96x = 10,160.08 × 6,524.96
  4. Step 4: Simplify right side
    6,780.96x = 66,294,115.60
  5. Step 5: Solve for x
    x = 66,294,115.60/6,780.96
  6. Step 6: Final answer
    x = 9,776.51

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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.