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Finding the Fourth Proportional to 13,564.80, 18,720.78 and 7,822.41

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Solution

The fourth proportional to 13,564.80, 18,720.78 and 7,822.41 is: 10,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.80 : 18,720.78 = 7,822.41 : x
  2. Step 2: Convert to fraction form
    13,564.80/18,720.78 = 7,822.41/x
  3. Step 3: Cross multiply
    13,564.80x = 18,720.78 × 7,822.41
  4. Step 4: Simplify right side
    13,564.80x = 146,441,616.68
  5. Step 5: Solve for x
    x = 146,441,616.68/13,564.80
  6. Step 6: Final answer
    x = 10,795.71

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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.