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Finding the Fourth Proportional to 4,689.96, 6,472.10 and 2,594.12

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Solution

The fourth proportional to 4,689.96, 6,472.10 and 2,594.12 is: 3,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.96 : 6,472.10 = 2,594.12 : x
  2. Step 2: Convert to fraction form
    4,689.96/6,472.10 = 2,594.12/x
  3. Step 3: Cross multiply
    4,689.96x = 6,472.10 × 2,594.12
  4. Step 4: Simplify right side
    4,689.96x = 16,789,404.05
  5. Step 5: Solve for x
    x = 16,789,404.05/4,689.96
  6. Step 6: Final answer
    x = 3,579.86

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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.