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Finding the Fourth Proportional to 6,751.06, 9,316.49 and 3,767.06

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Solution

The fourth proportional to 6,751.06, 9,316.49 and 3,767.06 is: 5,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.06 : 9,316.49 = 3,767.06 : x
  2. Step 2: Convert to fraction form
    6,751.06/9,316.49 = 3,767.06/x
  3. Step 3: Cross multiply
    6,751.06x = 9,316.49 × 3,767.06
  4. Step 4: Simplify right side
    6,751.06x = 35,095,776.82
  5. Step 5: Solve for x
    x = 35,095,776.82/6,751.06
  6. Step 6: Final answer
    x = 5,198.56

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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.