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Finding the Fourth Proportional to 9,192, 13,745.94 and 6,853.61

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Solution

The fourth proportional to 9,192, 13,745.94 and 6,853.61 is: 10,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 13,745.94 = 6,853.61 : x
  2. Step 2: Convert to fraction form
    9,192/13,745.94 = 6,853.61/x
  3. Step 3: Cross multiply
    9,192x = 13,745.94 × 6,853.61
  4. Step 4: Simplify right side
    9,192x = 94,209,243.11
  5. Step 5: Solve for x
    x = 94,209,243.11/9,192
  6. Step 6: Final answer
    x = 10,249.05

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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.