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Finding the Fourth Proportional to 5,867.97, 8,780.98 and 5,097.06

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Solution

The fourth proportional to 5,867.97, 8,780.98 and 5,097.06 is: 7,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.97 : 8,780.98 = 5,097.06 : x
  2. Step 2: Convert to fraction form
    5,867.97/8,780.98 = 5,097.06/x
  3. Step 3: Cross multiply
    5,867.97x = 8,780.98 × 5,097.06
  4. Step 4: Simplify right side
    5,867.97x = 44,757,181.92
  5. Step 5: Solve for x
    x = 44,757,181.92/5,867.97
  6. Step 6: Final answer
    x = 7,627.37

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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.