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Finding the Fourth Proportional to 15,881.56, 23,824.22 and 4,194.88

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Solution

The fourth proportional to 15,881.56, 23,824.22 and 4,194.88 is: 6,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881.56 : 23,824.22 = 4,194.88 : x
  2. Step 2: Convert to fraction form
    15,881.56/23,824.22 = 4,194.88/x
  3. Step 3: Cross multiply
    15,881.56x = 23,824.22 × 4,194.88
  4. Step 4: Simplify right side
    15,881.56x = 99,939,743.99
  5. Step 5: Solve for x
    x = 99,939,743.99/15,881.56
  6. Step 6: Final answer
    x = 6,292.82

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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.