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Finding the Fourth Proportional to 6,774.48, 9,349.24 and 3,790.58

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Solution

The fourth proportional to 6,774.48, 9,349.24 and 3,790.58 is: 5,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.48 : 9,349.24 = 3,790.58 : x
  2. Step 2: Convert to fraction form
    6,774.48/9,349.24 = 3,790.58/x
  3. Step 3: Cross multiply
    6,774.48x = 9,349.24 × 3,790.58
  4. Step 4: Simplify right side
    6,774.48x = 35,439,042.16
  5. Step 5: Solve for x
    x = 35,439,042.16/6,774.48
  6. Step 6: Final answer
    x = 5,231.26

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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.