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Finding the Fourth Proportional to 6,769.79, 9,342.25 and 3,785.65

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Solution

The fourth proportional to 6,769.79, 9,342.25 and 3,785.65 is: 5,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.79 : 9,342.25 = 3,785.65 : x
  2. Step 2: Convert to fraction form
    6,769.79/9,342.25 = 3,785.65/x
  3. Step 3: Cross multiply
    6,769.79x = 9,342.25 × 3,785.65
  4. Step 4: Simplify right side
    6,769.79x = 35,366,444.79
  5. Step 5: Solve for x
    x = 35,366,444.79/6,769.79
  6. Step 6: Final answer
    x = 5,224.16

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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.