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Finding the Fourth Proportional to 21,891.12, 32,830.69 and 7,848.54

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Solution

The fourth proportional to 21,891.12, 32,830.69 and 7,848.54 is: 11,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.12 : 32,830.69 = 7,848.54 : x
  2. Step 2: Convert to fraction form
    21,891.12/32,830.69 = 7,848.54/x
  3. Step 3: Cross multiply
    21,891.12x = 32,830.69 × 7,848.54
  4. Step 4: Simplify right side
    21,891.12x = 257,672,848.97
  5. Step 5: Solve for x
    x = 257,672,848.97/21,891.12
  6. Step 6: Final answer
    x = 11,770.66

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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.