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Finding the Fourth Proportional to 5,734.48, 8,609 and 4,874.28

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Solution

The fourth proportional to 5,734.48, 8,609 and 4,874.28 is: 7,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.48 : 8,609 = 4,874.28 : x
  2. Step 2: Convert to fraction form
    5,734.48/8,609 = 4,874.28/x
  3. Step 3: Cross multiply
    5,734.48x = 8,609 × 4,874.28
  4. Step 4: Simplify right side
    5,734.48x = 41,962,676.52
  5. Step 5: Solve for x
    x = 41,962,676.52/5,734.48
  6. Step 6: Final answer
    x = 7,317.61

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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.