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Finding the Fourth Proportional to 6,935.54, 10,400.54 and 4,015.90

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Solution

The fourth proportional to 6,935.54, 10,400.54 and 4,015.90 is: 6,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.54 : 10,400.54 = 4,015.90 : x
  2. Step 2: Convert to fraction form
    6,935.54/10,400.54 = 4,015.90/x
  3. Step 3: Cross multiply
    6,935.54x = 10,400.54 × 4,015.90
  4. Step 4: Simplify right side
    6,935.54x = 41,767,528.59
  5. Step 5: Solve for x
    x = 41,767,528.59/6,935.54
  6. Step 6: Final answer
    x = 6,022.25

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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.