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Finding the Fourth Proportional to 18,003.70, 27,017.70 and 10,106.20

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Solution

The fourth proportional to 18,003.70, 27,017.70 and 10,106.20 is: 15,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,003.70 : 27,017.70 = 10,106.20 : x
  2. Step 2: Convert to fraction form
    18,003.70/27,017.70 = 10,106.20/x
  3. Step 3: Cross multiply
    18,003.70x = 27,017.70 × 10,106.20
  4. Step 4: Simplify right side
    18,003.70x = 273,046,279.74
  5. Step 5: Solve for x
    x = 273,046,279.74/18,003.70
  6. Step 6: Final answer
    x = 15,166.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.