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Finding the Fourth Proportional to 4,689.69, 6,471.80 and 2,593.82

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Solution

The fourth proportional to 4,689.69, 6,471.80 and 2,593.82 is: 3,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.69 : 6,471.80 = 2,593.82 : x
  2. Step 2: Convert to fraction form
    4,689.69/6,471.80 = 2,593.82/x
  3. Step 3: Cross multiply
    4,689.69x = 6,471.80 × 2,593.82
  4. Step 4: Simplify right side
    4,689.69x = 16,786,638.95
  5. Step 5: Solve for x
    x = 16,786,638.95/4,689.69
  6. Step 6: Final answer
    x = 3,579.48

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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.