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Finding the Fourth Proportional to 9,802.11, 13,523.64 and 5,552.75

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Solution

The fourth proportional to 9,802.11, 13,523.64 and 5,552.75 is: 7,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.11 : 13,523.64 = 5,552.75 : x
  2. Step 2: Convert to fraction form
    9,802.11/13,523.64 = 5,552.75/x
  3. Step 3: Cross multiply
    9,802.11x = 13,523.64 × 5,552.75
  4. Step 4: Simplify right side
    9,802.11x = 75,093,324.39
  5. Step 5: Solve for x
    x = 75,093,324.39/9,802.11
  6. Step 6: Final answer
    x = 7,660.93

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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.