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Finding the Fourth Proportional to 10,194.52, 15,328.74 and 9,382.44

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Solution

The fourth proportional to 10,194.52, 15,328.74 and 9,382.44 is: 14,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.52 : 15,328.74 = 9,382.44 : x
  2. Step 2: Convert to fraction form
    10,194.52/15,328.74 = 9,382.44/x
  3. Step 3: Cross multiply
    10,194.52x = 15,328.74 × 9,382.44
  4. Step 4: Simplify right side
    10,194.52x = 143,820,983.33
  5. Step 5: Solve for x
    x = 143,820,983.33/10,194.52
  6. Step 6: Final answer
    x = 14,107.68

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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.