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Finding the Fourth Proportional to 6,935.70, 10,397.70 and 3,235.98

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Solution

The fourth proportional to 6,935.70, 10,397.70 and 3,235.98 is: 4,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.70 : 10,397.70 = 3,235.98 : x
  2. Step 2: Convert to fraction form
    6,935.70/10,397.70 = 3,235.98/x
  3. Step 3: Cross multiply
    6,935.70x = 10,397.70 × 3,235.98
  4. Step 4: Simplify right side
    6,935.70x = 33,646,749.25
  5. Step 5: Solve for x
    x = 33,646,749.25/6,935.70
  6. Step 6: Final answer
    x = 4,851.24

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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.