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Finding the Fourth Proportional to 19,209, 28,824.84 and 8,114.97

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Solution

The fourth proportional to 19,209, 28,824.84 and 8,114.97 is: 12,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 28,824.84 = 8,114.97 : x
  2. Step 2: Convert to fraction form
    19,209/28,824.84 = 8,114.97/x
  3. Step 3: Cross multiply
    19,209x = 28,824.84 × 8,114.97
  4. Step 4: Simplify right side
    19,209x = 233,912,711.85
  5. Step 5: Solve for x
    x = 233,912,711.85/19,209
  6. Step 6: Final answer
    x = 12,177.25

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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.