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Finding the Fourth Proportional to 21,634.21, 32,448.51 and 6,844.63

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Solution

The fourth proportional to 21,634.21, 32,448.51 and 6,844.63 is: 10,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.21 : 32,448.51 = 6,844.63 : x
  2. Step 2: Convert to fraction form
    21,634.21/32,448.51 = 6,844.63/x
  3. Step 3: Cross multiply
    21,634.21x = 32,448.51 × 6,844.63
  4. Step 4: Simplify right side
    21,634.21x = 222,098,045.00
  5. Step 5: Solve for x
    x = 222,098,045.00/21,634.21
  6. Step 6: Final answer
    x = 10,266.06

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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.