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Finding the Fourth Proportional to 6,544.68, 9,811.74 and 2,159.40

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Solution

The fourth proportional to 6,544.68, 9,811.74 and 2,159.40 is: 3,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.68 : 9,811.74 = 2,159.40 : x
  2. Step 2: Convert to fraction form
    6,544.68/9,811.74 = 2,159.40/x
  3. Step 3: Cross multiply
    6,544.68x = 9,811.74 × 2,159.40
  4. Step 4: Simplify right side
    6,544.68x = 21,187,471.36
  5. Step 5: Solve for x
    x = 21,187,471.36/6,544.68
  6. Step 6: Final answer
    x = 3,237.36

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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.