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Finding the Fourth Proportional to 20,411.82, 30,608.48 and 7,264.53

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Solution

The fourth proportional to 20,411.82, 30,608.48 and 7,264.53 is: 10,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.82 : 30,608.48 = 7,264.53 : x
  2. Step 2: Convert to fraction form
    20,411.82/30,608.48 = 7,264.53/x
  3. Step 3: Cross multiply
    20,411.82x = 30,608.48 × 7,264.53
  4. Step 4: Simplify right side
    20,411.82x = 222,356,184.89
  5. Step 5: Solve for x
    x = 222,356,184.89/20,411.82
  6. Step 6: Final answer
    x = 10,893.50

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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.