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Finding the Fourth Proportional to 6,741.84, 10,091.82 and 6,167.70

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Solution

The fourth proportional to 6,741.84, 10,091.82 and 6,167.70 is: 9,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.84 : 10,091.82 = 6,167.70 : x
  2. Step 2: Convert to fraction form
    6,741.84/10,091.82 = 6,167.70/x
  3. Step 3: Cross multiply
    6,741.84x = 10,091.82 × 6,167.70
  4. Step 4: Simplify right side
    6,741.84x = 62,243,318.21
  5. Step 5: Solve for x
    x = 62,243,318.21/6,741.84
  6. Step 6: Final answer
    x = 9,232.39

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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.