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Finding the Fourth Proportional to 9,843.14, 14,761.14 and 3,601.32

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Solution

The fourth proportional to 9,843.14, 14,761.14 and 3,601.32 is: 5,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.14 : 14,761.14 = 3,601.32 : x
  2. Step 2: Convert to fraction form
    9,843.14/14,761.14 = 3,601.32/x
  3. Step 3: Cross multiply
    9,843.14x = 14,761.14 × 3,601.32
  4. Step 4: Simplify right side
    9,843.14x = 53,159,588.70
  5. Step 5: Solve for x
    x = 53,159,588.70/9,843.14
  6. Step 6: Final answer
    x = 5,400.67

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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.