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Finding the Fourth Proportional to 6,007.30, 8,287.86 and 3,769.26

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Solution

The fourth proportional to 6,007.30, 8,287.86 and 3,769.26 is: 5,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.30 : 8,287.86 = 3,769.26 : x
  2. Step 2: Convert to fraction form
    6,007.30/8,287.86 = 3,769.26/x
  3. Step 3: Cross multiply
    6,007.30x = 8,287.86 × 3,769.26
  4. Step 4: Simplify right side
    6,007.30x = 31,239,099.18
  5. Step 5: Solve for x
    x = 31,239,099.18/6,007.30
  6. Step 6: Final answer
    x = 5,200.19

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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.