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Finding the Fourth Proportional to 11,453.84, 15,797.54 and 9,863.24

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Solution

The fourth proportional to 11,453.84, 15,797.54 and 9,863.24 is: 13,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.84 : 15,797.54 = 9,863.24 : x
  2. Step 2: Convert to fraction form
    11,453.84/15,797.54 = 9,863.24/x
  3. Step 3: Cross multiply
    11,453.84x = 15,797.54 × 9,863.24
  4. Step 4: Simplify right side
    11,453.84x = 155,814,928.43
  5. Step 5: Solve for x
    x = 155,814,928.43/11,453.84
  6. Step 6: Final answer
    x = 13,603.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.