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Finding the Fourth Proportional to 6,774.96, 9,349.92 and 3,982.08

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Solution

The fourth proportional to 6,774.96, 9,349.92 and 3,982.08 is: 5,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.96 : 9,349.92 = 3,982.08 : x
  2. Step 2: Convert to fraction form
    6,774.96/9,349.92 = 3,982.08/x
  3. Step 3: Cross multiply
    6,774.96x = 9,349.92 × 3,982.08
  4. Step 4: Simplify right side
    6,774.96x = 37,232,129.43
  5. Step 5: Solve for x
    x = 37,232,129.43/6,774.96
  6. Step 6: Final answer
    x = 5,495.55

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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.