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Finding the Fourth Proportional to 9,976.16, 13,768.02 and 5,997.17

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Solution

The fourth proportional to 9,976.16, 13,768.02 and 5,997.17 is: 8,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.16 : 13,768.02 = 5,997.17 : x
  2. Step 2: Convert to fraction form
    9,976.16/13,768.02 = 5,997.17/x
  3. Step 3: Cross multiply
    9,976.16x = 13,768.02 × 5,997.17
  4. Step 4: Simplify right side
    9,976.16x = 82,569,087.66
  5. Step 5: Solve for x
    x = 82,569,087.66/9,976.16
  6. Step 6: Final answer
    x = 8,276.64

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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.