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Finding the Fourth Proportional to 20,866.50, 31,299.75 and 7,015.50

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Solution

The fourth proportional to 20,866.50, 31,299.75 and 7,015.50 is: 10,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.50 : 31,299.75 = 7,015.50 : x
  2. Step 2: Convert to fraction form
    20,866.50/31,299.75 = 7,015.50/x
  3. Step 3: Cross multiply
    20,866.50x = 31,299.75 × 7,015.50
  4. Step 4: Simplify right side
    20,866.50x = 219,583,396.13
  5. Step 5: Solve for x
    x = 219,583,396.13/20,866.50
  6. Step 6: Final answer
    x = 10,523.25

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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.