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Finding the Fourth Proportional to 4,843.74, 7,265.62 and 3,457.74

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Solution

The fourth proportional to 4,843.74, 7,265.62 and 3,457.74 is: 5,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.74 : 7,265.62 = 3,457.74 : x
  2. Step 2: Convert to fraction form
    4,843.74/7,265.62 = 3,457.74/x
  3. Step 3: Cross multiply
    4,843.74x = 7,265.62 × 3,457.74
  4. Step 4: Simplify right side
    4,843.74x = 25,122,624.90
  5. Step 5: Solve for x
    x = 25,122,624.90/4,843.74
  6. Step 6: Final answer
    x = 5,186.62

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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.