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Finding the Fourth Proportional to 12,194.70, 18,292.05 and 4,795.12

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Solution

The fourth proportional to 12,194.70, 18,292.05 and 4,795.12 is: 7,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.70 : 18,292.05 = 4,795.12 : x
  2. Step 2: Convert to fraction form
    12,194.70/18,292.05 = 4,795.12/x
  3. Step 3: Cross multiply
    12,194.70x = 18,292.05 × 4,795.12
  4. Step 4: Simplify right side
    12,194.70x = 87,712,529.07
  5. Step 5: Solve for x
    x = 87,712,529.07/12,194.70
  6. Step 6: Final answer
    x = 7,192.68

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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.