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Finding the Fourth Proportional to 8,578.12, 11,830.98 and 5,924.92

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Solution

The fourth proportional to 8,578.12, 11,830.98 and 5,924.92 is: 8,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.12 : 11,830.98 = 5,924.92 : x
  2. Step 2: Convert to fraction form
    8,578.12/11,830.98 = 5,924.92/x
  3. Step 3: Cross multiply
    8,578.12x = 11,830.98 × 5,924.92
  4. Step 4: Simplify right side
    8,578.12x = 70,097,610.02
  5. Step 5: Solve for x
    x = 70,097,610.02/8,578.12
  6. Step 6: Final answer
    x = 8,171.68

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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.