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Finding the Fourth Proportional to 12,286.88, 18,434.16 and 9,368.48

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Solution

The fourth proportional to 12,286.88, 18,434.16 and 9,368.48 is: 14,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.88 : 18,434.16 = 9,368.48 : x
  2. Step 2: Convert to fraction form
    12,286.88/18,434.16 = 9,368.48/x
  3. Step 3: Cross multiply
    12,286.88x = 18,434.16 × 9,368.48
  4. Step 4: Simplify right side
    12,286.88x = 172,700,059.28
  5. Step 5: Solve for x
    x = 172,700,059.28/12,286.88
  6. Step 6: Final answer
    x = 14,055.65

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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.