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Finding the Fourth Proportional to 6,951.64, 10,409.10 and 4,874.20

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Solution

The fourth proportional to 6,951.64, 10,409.10 and 4,874.20 is: 7,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.64 : 10,409.10 = 4,874.20 : x
  2. Step 2: Convert to fraction form
    6,951.64/10,409.10 = 4,874.20/x
  3. Step 3: Cross multiply
    6,951.64x = 10,409.10 × 4,874.20
  4. Step 4: Simplify right side
    6,951.64x = 50,736,035.22
  5. Step 5: Solve for x
    x = 50,736,035.22/6,951.64
  6. Step 6: Final answer
    x = 7,298.43

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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.