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Finding the Fourth Proportional to 11,268, 15,550.83 and 6,552

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Solution

The fourth proportional to 11,268, 15,550.83 and 6,552 is: 9,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268 : 15,550.83 = 6,552 : x
  2. Step 2: Convert to fraction form
    11,268/15,550.83 = 6,552/x
  3. Step 3: Cross multiply
    11,268x = 15,550.83 × 6,552
  4. Step 4: Simplify right side
    11,268x = 101,889,038.16
  5. Step 5: Solve for x
    x = 101,889,038.16/11,268
  6. Step 6: Final answer
    x = 9,042.34

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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.