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Finding the Fourth Proportional to 6,468.27, 9,701.10 and 1,787.10

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Solution

The fourth proportional to 6,468.27, 9,701.10 and 1,787.10 is: 2,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.27 : 9,701.10 = 1,787.10 : x
  2. Step 2: Convert to fraction form
    6,468.27/9,701.10 = 1,787.10/x
  3. Step 3: Cross multiply
    6,468.27x = 9,701.10 × 1,787.10
  4. Step 4: Simplify right side
    6,468.27x = 17,336,835.81
  5. Step 5: Solve for x
    x = 17,336,835.81/6,468.27
  6. Step 6: Final answer
    x = 2,680.29

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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.