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Finding the Fourth Proportional to 7,702.14, 11,497.49 and 6,767.97

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Solution

The fourth proportional to 7,702.14, 11,497.49 and 6,767.97 is: 10,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.14 : 11,497.49 = 6,767.97 : x
  2. Step 2: Convert to fraction form
    7,702.14/11,497.49 = 6,767.97/x
  3. Step 3: Cross multiply
    7,702.14x = 11,497.49 × 6,767.97
  4. Step 4: Simplify right side
    7,702.14x = 77,814,670.06
  5. Step 5: Solve for x
    x = 77,814,670.06/7,702.14
  6. Step 6: Final answer
    x = 10,103.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.