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Finding the Fourth Proportional to 15,853.14, 23,780.73 and 5,322.73

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Solution

The fourth proportional to 15,853.14, 23,780.73 and 5,322.73 is: 7,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.14 : 23,780.73 = 5,322.73 : x
  2. Step 2: Convert to fraction form
    15,853.14/23,780.73 = 5,322.73/x
  3. Step 3: Cross multiply
    15,853.14x = 23,780.73 × 5,322.73
  4. Step 4: Simplify right side
    15,853.14x = 126,578,471.10
  5. Step 5: Solve for x
    x = 126,578,471.10/15,853.14
  6. Step 6: Final answer
    x = 7,984.44

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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.