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Finding the Fourth Proportional to 6,661.35, 9,196.56 and 5,923.17

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Solution

The fourth proportional to 6,661.35, 9,196.56 and 5,923.17 is: 8,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.35 : 9,196.56 = 5,923.17 : x
  2. Step 2: Convert to fraction form
    6,661.35/9,196.56 = 5,923.17/x
  3. Step 3: Cross multiply
    6,661.35x = 9,196.56 × 5,923.17
  4. Step 4: Simplify right side
    6,661.35x = 54,472,788.30
  5. Step 5: Solve for x
    x = 54,472,788.30/6,661.35
  6. Step 6: Final answer
    x = 8,177.44

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Half scale
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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.