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Finding the Fourth Proportional to 6,005.74, 8,287.74 and 3,353.14

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Solution

The fourth proportional to 6,005.74, 8,287.74 and 3,353.14 is: 4,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.74 : 8,287.74 = 3,353.14 : x
  2. Step 2: Convert to fraction form
    6,005.74/8,287.74 = 3,353.14/x
  3. Step 3: Cross multiply
    6,005.74x = 8,287.74 × 3,353.14
  4. Step 4: Simplify right side
    6,005.74x = 27,789,952.50
  5. Step 5: Solve for x
    x = 27,789,952.50/6,005.74
  6. Step 6: Final answer
    x = 4,627.23

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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.