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Finding the Fourth Proportional to 6,548, 9,036 and 3,563.76

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Solution

The fourth proportional to 6,548, 9,036 and 3,563.76 is: 4,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548 : 9,036 = 3,563.76 : x
  2. Step 2: Convert to fraction form
    6,548/9,036 = 3,563.76/x
  3. Step 3: Cross multiply
    6,548x = 9,036 × 3,563.76
  4. Step 4: Simplify right side
    6,548x = 32,202,135.36
  5. Step 5: Solve for x
    x = 32,202,135.36/6,548
  6. Step 6: Final answer
    x = 4,917.86

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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.