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Finding the Fourth Proportional to 21,642.12, 32,461.36 and 6,848.89

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Solution

The fourth proportional to 21,642.12, 32,461.36 and 6,848.89 is: 10,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.12 : 32,461.36 = 6,848.89 : x
  2. Step 2: Convert to fraction form
    21,642.12/32,461.36 = 6,848.89/x
  3. Step 3: Cross multiply
    21,642.12x = 32,461.36 × 6,848.89
  4. Step 4: Simplify right side
    21,642.12x = 222,324,185.61
  5. Step 5: Solve for x
    x = 222,324,185.61/21,642.12
  6. Step 6: Final answer
    x = 10,272.75

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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.