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Finding the Fourth Proportional to 9,838.44, 13,563.78 and 9,532.68

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Solution

The fourth proportional to 9,838.44, 13,563.78 and 9,532.68 is: 13,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.44 : 13,563.78 = 9,532.68 : x
  2. Step 2: Convert to fraction form
    9,838.44/13,563.78 = 9,532.68/x
  3. Step 3: Cross multiply
    9,838.44x = 13,563.78 × 9,532.68
  4. Step 4: Simplify right side
    9,838.44x = 129,299,174.33
  5. Step 5: Solve for x
    x = 129,299,174.33/9,838.44
  6. Step 6: Final answer
    x = 13,142.24

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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.