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Finding the Fourth Proportional to 7,994.97, 11,975.00 and 6,592.55

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Solution

The fourth proportional to 7,994.97, 11,975.00 and 6,592.55 is: 9,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.97 : 11,975.00 = 6,592.55 : x
  2. Step 2: Convert to fraction form
    7,994.97/11,975.00 = 6,592.55/x
  3. Step 3: Cross multiply
    7,994.97x = 11,975.00 × 6,592.55
  4. Step 4: Simplify right side
    7,994.97x = 78,945,693.41
  5. Step 5: Solve for x
    x = 78,945,693.41/7,994.97
  6. Step 6: Final answer
    x = 9,874.42

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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.