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Finding the Fourth Proportional to 15,842.88, 23,764.59 and 5,986.80

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Solution

The fourth proportional to 15,842.88, 23,764.59 and 5,986.80 is: 8,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.88 : 23,764.59 = 5,986.80 : x
  2. Step 2: Convert to fraction form
    15,842.88/23,764.59 = 5,986.80/x
  3. Step 3: Cross multiply
    15,842.88x = 23,764.59 × 5,986.80
  4. Step 4: Simplify right side
    15,842.88x = 142,273,847.41
  5. Step 5: Solve for x
    x = 142,273,847.41/15,842.88
  6. Step 6: Final answer
    x = 8,980.30

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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.