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Finding the Fourth Proportional to 15,730.50, 23,584.80 and 5,867.13

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Solution

The fourth proportional to 15,730.50, 23,584.80 and 5,867.13 is: 8,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.50 : 23,584.80 = 5,867.13 : x
  2. Step 2: Convert to fraction form
    15,730.50/23,584.80 = 5,867.13/x
  3. Step 3: Cross multiply
    15,730.50x = 23,584.80 × 5,867.13
  4. Step 4: Simplify right side
    15,730.50x = 138,375,087.62
  5. Step 5: Solve for x
    x = 138,375,087.62/15,730.50
  6. Step 6: Final answer
    x = 8,796.61

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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.