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Finding the Fourth Proportional to 6,066.74, 9,099.10 and 1,684.64

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Solution

The fourth proportional to 6,066.74, 9,099.10 and 1,684.64 is: 2,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.74 : 9,099.10 = 1,684.64 : x
  2. Step 2: Convert to fraction form
    6,066.74/9,099.10 = 1,684.64/x
  3. Step 3: Cross multiply
    6,066.74x = 9,099.10 × 1,684.64
  4. Step 4: Simplify right side
    6,066.74x = 15,328,707.82
  5. Step 5: Solve for x
    x = 15,328,707.82/6,066.74
  6. Step 6: Final answer
    x = 2,526.68

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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.