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Finding the Fourth Proportional to 20,010.70, 30,007.95 and 6,856.30

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Solution

The fourth proportional to 20,010.70, 30,007.95 and 6,856.30 is: 10,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,010.70 : 30,007.95 = 6,856.30 : x
  2. Step 2: Convert to fraction form
    20,010.70/30,007.95 = 6,856.30/x
  3. Step 3: Cross multiply
    20,010.70x = 30,007.95 × 6,856.30
  4. Step 4: Simplify right side
    20,010.70x = 205,743,507.59
  5. Step 5: Solve for x
    x = 205,743,507.59/20,010.70
  6. Step 6: Final answer
    x = 10,281.67

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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.