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Finding the Fourth Proportional to 12,184.58, 18,266.06 and 5,941.10

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Solution

The fourth proportional to 12,184.58, 18,266.06 and 5,941.10 is: 8,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.58 : 18,266.06 = 5,941.10 : x
  2. Step 2: Convert to fraction form
    12,184.58/18,266.06 = 5,941.10/x
  3. Step 3: Cross multiply
    12,184.58x = 18,266.06 × 5,941.10
  4. Step 4: Simplify right side
    12,184.58x = 108,520,489.07
  5. Step 5: Solve for x
    x = 108,520,489.07/12,184.58
  6. Step 6: Final answer
    x = 8,906.38

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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.