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Finding the Fourth Proportional to 6,971.97, 9,622.45 and 5,380.93

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Solution

The fourth proportional to 6,971.97, 9,622.45 and 5,380.93 is: 7,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.97 : 9,622.45 = 5,380.93 : x
  2. Step 2: Convert to fraction form
    6,971.97/9,622.45 = 5,380.93/x
  3. Step 3: Cross multiply
    6,971.97x = 9,622.45 × 5,380.93
  4. Step 4: Simplify right side
    6,971.97x = 51,777,654.86
  5. Step 5: Solve for x
    x = 51,777,654.86/6,971.97
  6. Step 6: Final answer
    x = 7,426.55

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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.