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Finding the Fourth Proportional to 6,263.63, 9,395.51 and 1,646.63

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Solution

The fourth proportional to 6,263.63, 9,395.51 and 1,646.63 is: 2,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.63 : 9,395.51 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    6,263.63/9,395.51 = 1,646.63/x
  3. Step 3: Cross multiply
    6,263.63x = 9,395.51 × 1,646.63
  4. Step 4: Simplify right side
    6,263.63x = 15,470,873.42
  5. Step 5: Solve for x
    x = 15,470,873.42/6,263.63
  6. Step 6: Final answer
    x = 2,469.96

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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.