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Finding the Fourth Proportional to 4,724.75, 7,072.04 and 4,462.31

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Solution

The fourth proportional to 4,724.75, 7,072.04 and 4,462.31 is: 6,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.75 : 7,072.04 = 4,462.31 : x
  2. Step 2: Convert to fraction form
    4,724.75/7,072.04 = 4,462.31/x
  3. Step 3: Cross multiply
    4,724.75x = 7,072.04 × 4,462.31
  4. Step 4: Simplify right side
    4,724.75x = 31,557,663.65
  5. Step 5: Solve for x
    x = 31,557,663.65/4,724.75
  6. Step 6: Final answer
    x = 6,679.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.