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Finding the Fourth Proportional to 13,486.62, 18,611.70 and 7,822.68

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Solution

The fourth proportional to 13,486.62, 18,611.70 and 7,822.68 is: 10,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.62 : 18,611.70 = 7,822.68 : x
  2. Step 2: Convert to fraction form
    13,486.62/18,611.70 = 7,822.68/x
  3. Step 3: Cross multiply
    13,486.62x = 18,611.70 × 7,822.68
  4. Step 4: Simplify right side
    13,486.62x = 145,593,373.36
  5. Step 5: Solve for x
    x = 145,593,373.36/13,486.62
  6. Step 6: Final answer
    x = 10,795.39

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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.