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Finding the Fourth Proportional to 5,609.70, 8,411.94 and 4,043.16

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Solution

The fourth proportional to 5,609.70, 8,411.94 and 4,043.16 is: 6,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.70 : 8,411.94 = 4,043.16 : x
  2. Step 2: Convert to fraction form
    5,609.70/8,411.94 = 4,043.16/x
  3. Step 3: Cross multiply
    5,609.70x = 8,411.94 × 4,043.16
  4. Step 4: Simplify right side
    5,609.70x = 34,010,819.33
  5. Step 5: Solve for x
    x = 34,010,819.33/5,609.70
  6. Step 6: Final answer
    x = 6,062.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.