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Finding the Fourth Proportional to 20,533.68, 30,802.20 and 6,494.67

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Solution

The fourth proportional to 20,533.68, 30,802.20 and 6,494.67 is: 9,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.68 : 30,802.20 = 6,494.67 : x
  2. Step 2: Convert to fraction form
    20,533.68/30,802.20 = 6,494.67/x
  3. Step 3: Cross multiply
    20,533.68x = 30,802.20 × 6,494.67
  4. Step 4: Simplify right side
    20,533.68x = 200,050,124.27
  5. Step 5: Solve for x
    x = 200,050,124.27/20,533.68
  6. Step 6: Final answer
    x = 9,742.54

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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.