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Finding the Fourth Proportional to 11,261, 15,542.08 and 6,548

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Solution

The fourth proportional to 11,261, 15,542.08 and 6,548 is: 9,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261 : 15,542.08 = 6,548 : x
  2. Step 2: Convert to fraction form
    11,261/15,542.08 = 6,548/x
  3. Step 3: Cross multiply
    11,261x = 15,542.08 × 6,548
  4. Step 4: Simplify right side
    11,261x = 101,769,539.84
  5. Step 5: Solve for x
    x = 101,769,539.84/11,261
  6. Step 6: Final answer
    x = 9,037.34

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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.