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Finding the Fourth Proportional to 6,949.40, 10,419.03 and 4,606.47

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Solution

The fourth proportional to 6,949.40, 10,419.03 and 4,606.47 is: 6,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.40 : 10,419.03 = 4,606.47 : x
  2. Step 2: Convert to fraction form
    6,949.40/10,419.03 = 4,606.47/x
  3. Step 3: Cross multiply
    6,949.40x = 10,419.03 × 4,606.47
  4. Step 4: Simplify right side
    6,949.40x = 47,994,949.12
  5. Step 5: Solve for x
    x = 47,994,949.12/6,949.40
  6. Step 6: Final answer
    x = 6,906.35

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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.