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Finding the Fourth Proportional to 7,002.48, 9,654.48 and 5,738.88

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Solution

The fourth proportional to 7,002.48, 9,654.48 and 5,738.88 is: 7,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.48 : 9,654.48 = 5,738.88 : x
  2. Step 2: Convert to fraction form
    7,002.48/9,654.48 = 5,738.88/x
  3. Step 3: Cross multiply
    7,002.48x = 9,654.48 × 5,738.88
  4. Step 4: Simplify right side
    7,002.48x = 55,405,902.18
  5. Step 5: Solve for x
    x = 55,405,902.18/7,002.48
  6. Step 6: Final answer
    x = 7,912.33

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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.