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Finding the Fourth Proportional to 20,181.76, 30,270.72 and 6,328.32

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Solution

The fourth proportional to 20,181.76, 30,270.72 and 6,328.32 is: 9,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.76 : 30,270.72 = 6,328.32 : x
  2. Step 2: Convert to fraction form
    20,181.76/30,270.72 = 6,328.32/x
  3. Step 3: Cross multiply
    20,181.76x = 30,270.72 × 6,328.32
  4. Step 4: Simplify right side
    20,181.76x = 191,562,802.79
  5. Step 5: Solve for x
    x = 191,562,802.79/20,181.76
  6. Step 6: Final answer
    x = 9,491.88

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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.