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Finding the Fourth Proportional to 6,967.60, 10,451.35 and 1,702.64

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Solution

The fourth proportional to 6,967.60, 10,451.35 and 1,702.64 is: 2,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.60 : 10,451.35 = 1,702.64 : x
  2. Step 2: Convert to fraction form
    6,967.60/10,451.35 = 1,702.64/x
  3. Step 3: Cross multiply
    6,967.60x = 10,451.35 × 1,702.64
  4. Step 4: Simplify right side
    6,967.60x = 17,794,914.82
  5. Step 5: Solve for x
    x = 17,794,914.82/6,967.60
  6. Step 6: Final answer
    x = 2,553.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.