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Finding the Fourth Proportional to 9,537.28, 13,161.42 and 5,811.28

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Solution

The fourth proportional to 9,537.28, 13,161.42 and 5,811.28 is: 8,019.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.28 : 13,161.42 = 5,811.28 : x
  2. Step 2: Convert to fraction form
    9,537.28/13,161.42 = 5,811.28/x
  3. Step 3: Cross multiply
    9,537.28x = 13,161.42 × 5,811.28
  4. Step 4: Simplify right side
    9,537.28x = 76,484,696.82
  5. Step 5: Solve for x
    x = 76,484,696.82/9,537.28
  6. Step 6: Final answer
    x = 8,019.55

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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.