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Finding the Fourth Proportional to 7,951.49, 10,976.01 and 6,827.92

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Solution

The fourth proportional to 7,951.49, 10,976.01 and 6,827.92 is: 9,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.49 : 10,976.01 = 6,827.92 : x
  2. Step 2: Convert to fraction form
    7,951.49/10,976.01 = 6,827.92/x
  3. Step 3: Cross multiply
    7,951.49x = 10,976.01 × 6,827.92
  4. Step 4: Simplify right side
    7,951.49x = 74,943,296.02
  5. Step 5: Solve for x
    x = 74,943,296.02/7,951.49
  6. Step 6: Final answer
    x = 9,425.06

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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.