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Finding the Fourth Proportional to 9,091.62, 13,610.94 and 6,908.94

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Solution

The fourth proportional to 9,091.62, 13,610.94 and 6,908.94 is: 10,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.62 : 13,610.94 = 6,908.94 : x
  2. Step 2: Convert to fraction form
    9,091.62/13,610.94 = 6,908.94/x
  3. Step 3: Cross multiply
    9,091.62x = 13,610.94 × 6,908.94
  4. Step 4: Simplify right side
    9,091.62x = 94,037,167.80
  5. Step 5: Solve for x
    x = 94,037,167.80/9,091.62
  6. Step 6: Final answer
    x = 10,343.28

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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.