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Finding the Fourth Proportional to 12,599.28, 18,902.16 and 6,747.84

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Solution

The fourth proportional to 12,599.28, 18,902.16 and 6,747.84 is: 10,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.28 : 18,902.16 = 6,747.84 : x
  2. Step 2: Convert to fraction form
    12,599.28/18,902.16 = 6,747.84/x
  3. Step 3: Cross multiply
    12,599.28x = 18,902.16 × 6,747.84
  4. Step 4: Simplify right side
    12,599.28x = 127,548,751.33
  5. Step 5: Solve for x
    x = 127,548,751.33/12,599.28
  6. Step 6: Final answer
    x = 10,123.50

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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.