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Finding the Fourth Proportional to 7,102.74, 10,654.12 and 7,092.48

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Solution

The fourth proportional to 7,102.74, 10,654.12 and 7,092.48 is: 10,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.74 : 10,654.12 = 7,092.48 : x
  2. Step 2: Convert to fraction form
    7,102.74/10,654.12 = 7,092.48/x
  3. Step 3: Cross multiply
    7,102.74x = 10,654.12 × 7,092.48
  4. Step 4: Simplify right side
    7,102.74x = 75,564,133.02
  5. Step 5: Solve for x
    x = 75,564,133.02/7,102.74
  6. Step 6: Final answer
    x = 10,638.73

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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.