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Finding the Fourth Proportional to 9,651.54, 14,443.36 and 8,350.56

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Solution

The fourth proportional to 9,651.54, 14,443.36 and 8,350.56 is: 12,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.54 : 14,443.36 = 8,350.56 : x
  2. Step 2: Convert to fraction form
    9,651.54/14,443.36 = 8,350.56/x
  3. Step 3: Cross multiply
    9,651.54x = 14,443.36 × 8,350.56
  4. Step 4: Simplify right side
    9,651.54x = 120,610,144.28
  5. Step 5: Solve for x
    x = 120,610,144.28/9,651.54
  6. Step 6: Final answer
    x = 12,496.47

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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.