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Finding the Fourth Proportional to 6,340.53, 9,496.44 and 3,055.98

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Solution

The fourth proportional to 6,340.53, 9,496.44 and 3,055.98 is: 4,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.53 : 9,496.44 = 3,055.98 : x
  2. Step 2: Convert to fraction form
    6,340.53/9,496.44 = 3,055.98/x
  3. Step 3: Cross multiply
    6,340.53x = 9,496.44 × 3,055.98
  4. Step 4: Simplify right side
    6,340.53x = 29,020,930.71
  5. Step 5: Solve for x
    x = 29,020,930.71/6,340.53
  6. Step 6: Final answer
    x = 4,577.05

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Why These Related Problems?

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