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Finding the Fourth Proportional to 5,309.84, 7,963.56 and 1,414.16

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Solution

The fourth proportional to 5,309.84, 7,963.56 and 1,414.16 is: 2,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.84 : 7,963.56 = 1,414.16 : x
  2. Step 2: Convert to fraction form
    5,309.84/7,963.56 = 1,414.16/x
  3. Step 3: Cross multiply
    5,309.84x = 7,963.56 × 1,414.16
  4. Step 4: Simplify right side
    5,309.84x = 11,261,748.01
  5. Step 5: Solve for x
    x = 11,261,748.01/5,309.84
  6. Step 6: Final answer
    x = 2,120.92

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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.