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Finding the Fourth Proportional to 20,501.70, 30,750.75 and 5,709.66

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Solution

The fourth proportional to 20,501.70, 30,750.75 and 5,709.66 is: 8,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.70 : 30,750.75 = 5,709.66 : x
  2. Step 2: Convert to fraction form
    20,501.70/30,750.75 = 5,709.66/x
  3. Step 3: Cross multiply
    20,501.70x = 30,750.75 × 5,709.66
  4. Step 4: Simplify right side
    20,501.70x = 175,576,327.25
  5. Step 5: Solve for x
    x = 175,576,327.25/20,501.70
  6. Step 6: Final answer
    x = 8,563.99

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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.