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Finding the Fourth Proportional to 14,561.47, 21,842.31 and 6,234.46

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Solution

The fourth proportional to 14,561.47, 21,842.31 and 6,234.46 is: 9,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.47 : 21,842.31 = 6,234.46 : x
  2. Step 2: Convert to fraction form
    14,561.47/21,842.31 = 6,234.46/x
  3. Step 3: Cross multiply
    14,561.47x = 21,842.31 × 6,234.46
  4. Step 4: Simplify right side
    14,561.47x = 136,175,008.00
  5. Step 5: Solve for x
    x = 136,175,008.00/14,561.47
  6. Step 6: Final answer
    x = 9,351.73

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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.