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Finding the Fourth Proportional to 6,949.60, 10,398.24 and 4,873.66

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Solution

The fourth proportional to 6,949.60, 10,398.24 and 4,873.66 is: 7,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.60 : 10,398.24 = 4,873.66 : x
  2. Step 2: Convert to fraction form
    6,949.60/10,398.24 = 4,873.66/x
  3. Step 3: Cross multiply
    6,949.60x = 10,398.24 × 4,873.66
  4. Step 4: Simplify right side
    6,949.60x = 50,677,460.36
  5. Step 5: Solve for x
    x = 50,677,460.36/6,949.60
  6. Step 6: Final answer
    x = 7,292.14

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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.