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Finding the Fourth Proportional to 6,471.72, 8,934 and 4,233.68

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Solution

The fourth proportional to 6,471.72, 8,934 and 4,233.68 is: 5,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.72 : 8,934 = 4,233.68 : x
  2. Step 2: Convert to fraction form
    6,471.72/8,934 = 4,233.68/x
  3. Step 3: Cross multiply
    6,471.72x = 8,934 × 4,233.68
  4. Step 4: Simplify right side
    6,471.72x = 37,823,697.12
  5. Step 5: Solve for x
    x = 37,823,697.12/6,471.72
  6. Step 6: Final answer
    x = 5,844.46

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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.