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Finding the Fourth Proportional to 7,052.75, 9,732.75 and 3,908.93

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Solution

The fourth proportional to 7,052.75, 9,732.75 and 3,908.93 is: 5,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.75 : 9,732.75 = 3,908.93 : x
  2. Step 2: Convert to fraction form
    7,052.75/9,732.75 = 3,908.93/x
  3. Step 3: Cross multiply
    7,052.75x = 9,732.75 × 3,908.93
  4. Step 4: Simplify right side
    7,052.75x = 38,044,589.79
  5. Step 5: Solve for x
    x = 38,044,589.79/7,052.75
  6. Step 6: Final answer
    x = 5,394.30

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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.