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Finding the Fourth Proportional to 12,186.84, 18,280.08 and 2,952.84

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Solution

The fourth proportional to 12,186.84, 18,280.08 and 2,952.84 is: 4,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.84 : 18,280.08 = 2,952.84 : x
  2. Step 2: Convert to fraction form
    12,186.84/18,280.08 = 2,952.84/x
  3. Step 3: Cross multiply
    12,186.84x = 18,280.08 × 2,952.84
  4. Step 4: Simplify right side
    12,186.84x = 53,978,151.43
  5. Step 5: Solve for x
    x = 53,978,151.43/12,186.84
  6. Step 6: Final answer
    x = 4,429.22

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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.