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Finding the Fourth Proportional to 6,616.24, 9,924.36 and 1,999.24

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Solution

The fourth proportional to 6,616.24, 9,924.36 and 1,999.24 is: 2,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.24 : 9,924.36 = 1,999.24 : x
  2. Step 2: Convert to fraction form
    6,616.24/9,924.36 = 1,999.24/x
  3. Step 3: Cross multiply
    6,616.24x = 9,924.36 × 1,999.24
  4. Step 4: Simplify right side
    6,616.24x = 19,841,177.49
  5. Step 5: Solve for x
    x = 19,841,177.49/6,616.24
  6. Step 6: Final answer
    x = 2,998.86

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Half scale
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Double scale
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Similar ratio
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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.