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Finding the Fourth Proportional to 6,951.90, 10,420.98 and 4,612.56

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Solution

The fourth proportional to 6,951.90, 10,420.98 and 4,612.56 is: 6,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.90 : 10,420.98 = 4,612.56 : x
  2. Step 2: Convert to fraction form
    6,951.90/10,420.98 = 4,612.56/x
  3. Step 3: Cross multiply
    6,951.90x = 10,420.98 × 4,612.56
  4. Step 4: Simplify right side
    6,951.90x = 48,067,395.51
  5. Step 5: Solve for x
    x = 48,067,395.51/6,951.90
  6. Step 6: Final answer
    x = 6,914.28

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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.