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Finding the Fourth Proportional to 12,202.80, 18,294.06 and 5,188.20

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Solution

The fourth proportional to 12,202.80, 18,294.06 and 5,188.20 is: 7,777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.80 : 18,294.06 = 5,188.20 : x
  2. Step 2: Convert to fraction form
    12,202.80/18,294.06 = 5,188.20/x
  3. Step 3: Cross multiply
    12,202.80x = 18,294.06 × 5,188.20
  4. Step 4: Simplify right side
    12,202.80x = 94,913,242.09
  5. Step 5: Solve for x
    x = 94,913,242.09/12,202.80
  6. Step 6: Final answer
    x = 7,777.99

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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.