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Finding the Fourth Proportional to 5,526, 8,289 and 5,249.16

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Solution

The fourth proportional to 5,526, 8,289 and 5,249.16 is: 7,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,526 : 8,289 = 5,249.16 : x
  2. Step 2: Convert to fraction form
    5,526/8,289 = 5,249.16/x
  3. Step 3: Cross multiply
    5,526x = 8,289 × 5,249.16
  4. Step 4: Simplify right side
    5,526x = 43,510,287.24
  5. Step 5: Solve for x
    x = 43,510,287.24/5,526
  6. Step 6: Final answer
    x = 7,873.74

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.