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Finding the Fourth Proportional to 7,200.16, 10,801.86 and 2,006.44

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Solution

The fourth proportional to 7,200.16, 10,801.86 and 2,006.44 is: 3,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.16 : 10,801.86 = 2,006.44 : x
  2. Step 2: Convert to fraction form
    7,200.16/10,801.86 = 2,006.44/x
  3. Step 3: Cross multiply
    7,200.16x = 10,801.86 × 2,006.44
  4. Step 4: Simplify right side
    7,200.16x = 21,673,283.98
  5. Step 5: Solve for x
    x = 21,673,283.98/7,200.16
  6. Step 6: Final answer
    x = 3,010.11

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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.