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Finding the Fourth Proportional to 9,867, 13,616.46 and 5,451

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Solution

The fourth proportional to 9,867, 13,616.46 and 5,451 is: 7,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867 : 13,616.46 = 5,451 : x
  2. Step 2: Convert to fraction form
    9,867/13,616.46 = 5,451/x
  3. Step 3: Cross multiply
    9,867x = 13,616.46 × 5,451
  4. Step 4: Simplify right side
    9,867x = 74,223,323.46
  5. Step 5: Solve for x
    x = 74,223,323.46/9,867
  6. Step 6: Final answer
    x = 7,522.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.