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Finding the Fourth Proportional to 6,684.17, 10,019.64 and 3,168

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Solution

The fourth proportional to 6,684.17, 10,019.64 and 3,168 is: 4,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.17 : 10,019.64 = 3,168 : x
  2. Step 2: Convert to fraction form
    6,684.17/10,019.64 = 3,168/x
  3. Step 3: Cross multiply
    6,684.17x = 10,019.64 × 3,168
  4. Step 4: Simplify right side
    6,684.17x = 31,742,219.52
  5. Step 5: Solve for x
    x = 31,742,219.52/6,684.17
  6. Step 6: Final answer
    x = 4,748.87

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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.