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Finding the Fourth Proportional to 6,750.06, 9,314.64 and 4,232.06

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Solution

The fourth proportional to 6,750.06, 9,314.64 and 4,232.06 is: 5,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.06 : 9,314.64 = 4,232.06 : x
  2. Step 2: Convert to fraction form
    6,750.06/9,314.64 = 4,232.06/x
  3. Step 3: Cross multiply
    6,750.06x = 9,314.64 × 4,232.06
  4. Step 4: Simplify right side
    6,750.06x = 39,420,138.65
  5. Step 5: Solve for x
    x = 39,420,138.65/6,750.06
  6. Step 6: Final answer
    x = 5,839.97

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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.