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Finding the Fourth Proportional to 4,689, 6,471.12 and 2,593.26

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Solution

The fourth proportional to 4,689, 6,471.12 and 2,593.26 is: 3,578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689 : 6,471.12 = 2,593.26 : x
  2. Step 2: Convert to fraction form
    4,689/6,471.12 = 2,593.26/x
  3. Step 3: Cross multiply
    4,689x = 6,471.12 × 2,593.26
  4. Step 4: Simplify right side
    4,689x = 16,781,296.65
  5. Step 5: Solve for x
    x = 16,781,296.65/4,689
  6. Step 6: Final answer
    x = 3,578.86

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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.