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Finding the Fourth Proportional to 21,231, 31,846.58 and 6,440.05

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Solution

The fourth proportional to 21,231, 31,846.58 and 6,440.05 is: 9,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231 : 31,846.58 = 6,440.05 : x
  2. Step 2: Convert to fraction form
    21,231/31,846.58 = 6,440.05/x
  3. Step 3: Cross multiply
    21,231x = 31,846.58 × 6,440.05
  4. Step 4: Simplify right side
    21,231x = 205,093,504.01
  5. Step 5: Solve for x
    x = 205,093,504.01/21,231
  6. Step 6: Final answer
    x = 9,660.10

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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.