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Finding the Fourth Proportional to 5,944.16, 8,203.00 and 3,291.63

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Solution

The fourth proportional to 5,944.16, 8,203.00 and 3,291.63 is: 4,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.16 : 8,203.00 = 3,291.63 : x
  2. Step 2: Convert to fraction form
    5,944.16/8,203.00 = 3,291.63/x
  3. Step 3: Cross multiply
    5,944.16x = 8,203.00 × 3,291.63
  4. Step 4: Simplify right side
    5,944.16x = 27,001,232.66
  5. Step 5: Solve for x
    x = 27,001,232.66/5,944.16
  6. Step 6: Final answer
    x = 4,542.48

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.