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Finding the Fourth Proportional to 13,738.72, 18,963.84 and 8,364.10

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Solution

The fourth proportional to 13,738.72, 18,963.84 and 8,364.10 is: 11,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.72 : 18,963.84 = 8,364.10 : x
  2. Step 2: Convert to fraction form
    13,738.72/18,963.84 = 8,364.10/x
  3. Step 3: Cross multiply
    13,738.72x = 18,963.84 × 8,364.10
  4. Step 4: Simplify right side
    13,738.72x = 158,615,454.14
  5. Step 5: Solve for x
    x = 158,615,454.14/13,738.72
  6. Step 6: Final answer
    x = 11,545.14

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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.