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Finding the Fourth Proportional to 12,194.01, 18,291.02 and 2,960.01

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Solution

The fourth proportional to 12,194.01, 18,291.02 and 2,960.01 is: 4,440.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.01 : 18,291.02 = 2,960.01 : x
  2. Step 2: Convert to fraction form
    12,194.01/18,291.02 = 2,960.01/x
  3. Step 3: Cross multiply
    12,194.01x = 18,291.02 × 2,960.01
  4. Step 4: Simplify right side
    12,194.01x = 54,141,587.31
  5. Step 5: Solve for x
    x = 54,141,587.31/12,194.01
  6. Step 6: Final answer
    x = 4,440.02

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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.