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Finding the Fourth Proportional to 6,754.32, 9,321.94 and 4,872.14

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Solution

The fourth proportional to 6,754.32, 9,321.94 and 4,872.14 is: 6,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.32 : 9,321.94 = 4,872.14 : x
  2. Step 2: Convert to fraction form
    6,754.32/9,321.94 = 4,872.14/x
  3. Step 3: Cross multiply
    6,754.32x = 9,321.94 × 4,872.14
  4. Step 4: Simplify right side
    6,754.32x = 45,417,796.75
  5. Step 5: Solve for x
    x = 45,417,796.75/6,754.32
  6. Step 6: Final answer
    x = 6,724.26

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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.