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Finding the Fourth Proportional to 9,441, 13,028.58 and 5,249.16

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Solution

The fourth proportional to 9,441, 13,028.58 and 5,249.16 is: 7,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 13,028.58 = 5,249.16 : x
  2. Step 2: Convert to fraction form
    9,441/13,028.58 = 5,249.16/x
  3. Step 3: Cross multiply
    9,441x = 13,028.58 × 5,249.16
  4. Step 4: Simplify right side
    9,441x = 68,389,100.99
  5. Step 5: Solve for x
    x = 68,389,100.99/9,441
  6. Step 6: Final answer
    x = 7,243.84

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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.