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Finding the Fourth Proportional to 21,993.54, 32,997.87 and 7,205.10

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Solution

The fourth proportional to 21,993.54, 32,997.87 and 7,205.10 is: 10,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.54 : 32,997.87 = 7,205.10 : x
  2. Step 2: Convert to fraction form
    21,993.54/32,997.87 = 7,205.10/x
  3. Step 3: Cross multiply
    21,993.54x = 32,997.87 × 7,205.10
  4. Step 4: Simplify right side
    21,993.54x = 237,752,953.14
  5. Step 5: Solve for x
    x = 237,752,953.14/21,993.54
  6. Step 6: Final answer
    x = 10,810.13

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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.