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Finding the Fourth Proportional to 15,771.23, 21,761.95 and 9,057.14

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Solution

The fourth proportional to 15,771.23, 21,761.95 and 9,057.14 is: 12,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.23 : 21,761.95 = 9,057.14 : x
  2. Step 2: Convert to fraction form
    15,771.23/21,761.95 = 9,057.14/x
  3. Step 3: Cross multiply
    15,771.23x = 21,761.95 × 9,057.14
  4. Step 4: Simplify right side
    15,771.23x = 197,100,873.73
  5. Step 5: Solve for x
    x = 197,100,873.73/15,771.23
  6. Step 6: Final answer
    x = 12,497.50

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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.