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Finding the Fourth Proportional to 12,368, 17,067.88 and 6,702.84

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Solution

The fourth proportional to 12,368, 17,067.88 and 6,702.84 is: 9,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368 : 17,067.88 = 6,702.84 : x
  2. Step 2: Convert to fraction form
    12,368/17,067.88 = 6,702.84/x
  3. Step 3: Cross multiply
    12,368x = 17,067.88 × 6,702.84
  4. Step 4: Simplify right side
    12,368x = 114,403,268.78
  5. Step 5: Solve for x
    x = 114,403,268.78/12,368
  6. Step 6: Final answer
    x = 9,249.94

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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.