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Finding the Fourth Proportional to 5,252.92, 7,874.50 and 1,963.51

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Solution

The fourth proportional to 5,252.92, 7,874.50 and 1,963.51 is: 2,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.92 : 7,874.50 = 1,963.51 : x
  2. Step 2: Convert to fraction form
    5,252.92/7,874.50 = 1,963.51/x
  3. Step 3: Cross multiply
    5,252.92x = 7,874.50 × 1,963.51
  4. Step 4: Simplify right side
    5,252.92x = 15,461,659.50
  5. Step 5: Solve for x
    x = 15,461,659.50/5,252.92
  6. Step 6: Final answer
    x = 2,943.44

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1.5x scale

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.