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Finding the Fourth Proportional to 13,163.34, 18,164.18 and 7,498.41

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Solution

The fourth proportional to 13,163.34, 18,164.18 and 7,498.41 is: 10,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.34 : 18,164.18 = 7,498.41 : x
  2. Step 2: Convert to fraction form
    13,163.34/18,164.18 = 7,498.41/x
  3. Step 3: Cross multiply
    13,163.34x = 18,164.18 × 7,498.41
  4. Step 4: Simplify right side
    13,163.34x = 136,202,419.58
  5. Step 5: Solve for x
    x = 136,202,419.58/13,163.34
  6. Step 6: Final answer
    x = 10,347.10

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Half scale
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Double scale
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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.