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Finding the Fourth Proportional to 12,352.80, 18,505.94 and 6,105.50

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Solution

The fourth proportional to 12,352.80, 18,505.94 and 6,105.50 is: 9,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.80 : 18,505.94 = 6,105.50 : x
  2. Step 2: Convert to fraction form
    12,352.80/18,505.94 = 6,105.50/x
  3. Step 3: Cross multiply
    12,352.80x = 18,505.94 × 6,105.50
  4. Step 4: Simplify right side
    12,352.80x = 112,988,016.67
  5. Step 5: Solve for x
    x = 112,988,016.67/12,352.80
  6. Step 6: Final answer
    x = 9,146.75

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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.