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Finding the Fourth Proportional to 21,874.14, 32,816.43 and 7,083.07

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Solution

The fourth proportional to 21,874.14, 32,816.43 and 7,083.07 is: 10,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.14 : 32,816.43 = 7,083.07 : x
  2. Step 2: Convert to fraction form
    21,874.14/32,816.43 = 7,083.07/x
  3. Step 3: Cross multiply
    21,874.14x = 32,816.43 × 7,083.07
  4. Step 4: Simplify right side
    21,874.14x = 232,441,070.84
  5. Step 5: Solve for x
    x = 232,441,070.84/21,874.14
  6. Step 6: Final answer
    x = 10,626.30

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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.