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Finding the Fourth Proportional to 6,111.70, 9,166.65 and 1,729.60

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Solution

The fourth proportional to 6,111.70, 9,166.65 and 1,729.60 is: 2,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.70 : 9,166.65 = 1,729.60 : x
  2. Step 2: Convert to fraction form
    6,111.70/9,166.65 = 1,729.60/x
  3. Step 3: Cross multiply
    6,111.70x = 9,166.65 × 1,729.60
  4. Step 4: Simplify right side
    6,111.70x = 15,854,637.84
  5. Step 5: Solve for x
    x = 15,854,637.84/6,111.70
  6. Step 6: Final answer
    x = 2,594.15

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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.