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Finding the Fourth Proportional to 14,682.98, 20,262.51 and 7,968.71

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Solution

The fourth proportional to 14,682.98, 20,262.51 and 7,968.71 is: 10,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.98 : 20,262.51 = 7,968.71 : x
  2. Step 2: Convert to fraction form
    14,682.98/20,262.51 = 7,968.71/x
  3. Step 3: Cross multiply
    14,682.98x = 20,262.51 × 7,968.71
  4. Step 4: Simplify right side
    14,682.98x = 161,465,964.75
  5. Step 5: Solve for x
    x = 161,465,964.75/14,682.98
  6. Step 6: Final answer
    x = 10,996.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.