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Finding the Fourth Proportional to 20,109.70, 30,164.40 and 6,069.70

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Solution

The fourth proportional to 20,109.70, 30,164.40 and 6,069.70 is: 9,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.70 : 30,164.40 = 6,069.70 : x
  2. Step 2: Convert to fraction form
    20,109.70/30,164.40 = 6,069.70/x
  3. Step 3: Cross multiply
    20,109.70x = 30,164.40 × 6,069.70
  4. Step 4: Simplify right side
    20,109.70x = 183,088,858.68
  5. Step 5: Solve for x
    x = 183,088,858.68/20,109.70
  6. Step 6: Final answer
    x = 9,104.50

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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.