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Finding the Fourth Proportional to 6,663.48, 9,196.38 and 5,542.44

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Solution

The fourth proportional to 6,663.48, 9,196.38 and 5,542.44 is: 7,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.48 : 9,196.38 = 5,542.44 : x
  2. Step 2: Convert to fraction form
    6,663.48/9,196.38 = 5,542.44/x
  3. Step 3: Cross multiply
    6,663.48x = 9,196.38 × 5,542.44
  4. Step 4: Simplify right side
    6,663.48x = 50,970,384.37
  5. Step 5: Solve for x
    x = 50,970,384.37/6,663.48
  6. Step 6: Final answer
    x = 7,649.21

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Half scale
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Double 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.