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Finding the Fourth Proportional to 4,689.16, 6,471 and 2,593.24

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Solution

The fourth proportional to 4,689.16, 6,471 and 2,593.24 is: 3,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.16 : 6,471 = 2,593.24 : x
  2. Step 2: Convert to fraction form
    4,689.16/6,471 = 2,593.24/x
  3. Step 3: Cross multiply
    4,689.16x = 6,471 × 2,593.24
  4. Step 4: Simplify right side
    4,689.16x = 16,780,856.04
  5. Step 5: Solve for x
    x = 16,780,856.04/4,689.16
  6. Step 6: Final answer
    x = 3,578.65

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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.