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Finding the Fourth Proportional to 13,616.42, 18,792.42 and 7,648.09

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Solution

The fourth proportional to 13,616.42, 18,792.42 and 7,648.09 is: 10,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.42 : 18,792.42 = 7,648.09 : x
  2. Step 2: Convert to fraction form
    13,616.42/18,792.42 = 7,648.09/x
  3. Step 3: Cross multiply
    13,616.42x = 18,792.42 × 7,648.09
  4. Step 4: Simplify right side
    13,616.42x = 143,726,086.84
  5. Step 5: Solve for x
    x = 143,726,086.84/13,616.42
  6. Step 6: Final answer
    x = 10,555.35

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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.