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Finding the Fourth Proportional to 6,946.64, 10,418.84 and 3,050.32

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Solution

The fourth proportional to 6,946.64, 10,418.84 and 3,050.32 is: 4,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.64 : 10,418.84 = 3,050.32 : x
  2. Step 2: Convert to fraction form
    6,946.64/10,418.84 = 3,050.32/x
  3. Step 3: Cross multiply
    6,946.64x = 10,418.84 × 3,050.32
  4. Step 4: Simplify right side
    6,946.64x = 31,780,796.03
  5. Step 5: Solve for x
    x = 31,780,796.03/6,946.64
  6. Step 6: Final answer
    x = 4,574.99

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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.