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Finding the Fourth Proportional to 6,464.74, 9,687.99 and 2,946.10

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Solution

The fourth proportional to 6,464.74, 9,687.99 and 2,946.10 is: 4,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.74 : 9,687.99 = 2,946.10 : x
  2. Step 2: Convert to fraction form
    6,464.74/9,687.99 = 2,946.10/x
  3. Step 3: Cross multiply
    6,464.74x = 9,687.99 × 2,946.10
  4. Step 4: Simplify right side
    6,464.74x = 28,541,724.17
  5. Step 5: Solve for x
    x = 28,541,724.17/6,464.74
  6. Step 6: Final answer
    x = 4,414.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.