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Finding the Fourth Proportional to 9,754.70, 14,622.81 and 6,008.78

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Solution

The fourth proportional to 9,754.70, 14,622.81 and 6,008.78 is: 9,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.70 : 14,622.81 = 6,008.78 : x
  2. Step 2: Convert to fraction form
    9,754.70/14,622.81 = 6,008.78/x
  3. Step 3: Cross multiply
    9,754.70x = 14,622.81 × 6,008.78
  4. Step 4: Simplify right side
    9,754.70x = 87,865,175.16
  5. Step 5: Solve for x
    x = 87,865,175.16/9,754.70
  6. Step 6: Final answer
    x = 9,007.48

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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.