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Finding the Fourth Proportional to 13,756.58, 18,982.89 and 8,013.14

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Solution

The fourth proportional to 13,756.58, 18,982.89 and 8,013.14 is: 11,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.58 : 18,982.89 = 8,013.14 : x
  2. Step 2: Convert to fraction form
    13,756.58/18,982.89 = 8,013.14/x
  3. Step 3: Cross multiply
    13,756.58x = 18,982.89 × 8,013.14
  4. Step 4: Simplify right side
    13,756.58x = 152,112,531.45
  5. Step 5: Solve for x
    x = 152,112,531.45/13,756.58
  6. Step 6: Final answer
    x = 11,057.44

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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.