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Finding the Fourth Proportional to 12,194.52, 18,294.02 and 4,798.82

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Solution

The fourth proportional to 12,194.52, 18,294.02 and 4,798.82 is: 7,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.52 : 18,294.02 = 4,798.82 : x
  2. Step 2: Convert to fraction form
    12,194.52/18,294.02 = 4,798.82/x
  3. Step 3: Cross multiply
    12,194.52x = 18,294.02 × 4,798.82
  4. Step 4: Simplify right side
    12,194.52x = 87,789,709.06
  5. Step 5: Solve for x
    x = 87,789,709.06/12,194.52
  6. Step 6: Final answer
    x = 7,199.11

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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.