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Finding the Fourth Proportional to 9,882.57, 14,807.41 and 6,954.73

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Solution

The fourth proportional to 9,882.57, 14,807.41 and 6,954.73 is: 10,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.57 : 14,807.41 = 6,954.73 : x
  2. Step 2: Convert to fraction form
    9,882.57/14,807.41 = 6,954.73/x
  3. Step 3: Cross multiply
    9,882.57x = 14,807.41 × 6,954.73
  4. Step 4: Simplify right side
    9,882.57x = 102,981,538.55
  5. Step 5: Solve for x
    x = 102,981,538.55/9,882.57
  6. Step 6: Final answer
    x = 10,420.52

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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.