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Finding the Fourth Proportional to 6,643.64, 9,168.12 and 3,811.52

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Solution

The fourth proportional to 6,643.64, 9,168.12 and 3,811.52 is: 5,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.64 : 9,168.12 = 3,811.52 : x
  2. Step 2: Convert to fraction form
    6,643.64/9,168.12 = 3,811.52/x
  3. Step 3: Cross multiply
    6,643.64x = 9,168.12 × 3,811.52
  4. Step 4: Simplify right side
    6,643.64x = 34,944,472.74
  5. Step 5: Solve for x
    x = 34,944,472.74/6,643.64
  6. Step 6: Final answer
    x = 5,259.84

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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.