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Finding the Fourth Proportional to 6,659.77, 9,989.68 and 1,729.45

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Solution

The fourth proportional to 6,659.77, 9,989.68 and 1,729.45 is: 2,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.77 : 9,989.68 = 1,729.45 : x
  2. Step 2: Convert to fraction form
    6,659.77/9,989.68 = 1,729.45/x
  3. Step 3: Cross multiply
    6,659.77x = 9,989.68 × 1,729.45
  4. Step 4: Simplify right side
    6,659.77x = 17,276,643.43
  5. Step 5: Solve for x
    x = 17,276,643.43/6,659.77
  6. Step 6: Final answer
    x = 2,594.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.