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Finding the Fourth Proportional to 6,835.67, 9,434.10 and 3,852.24

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Solution

The fourth proportional to 6,835.67, 9,434.10 and 3,852.24 is: 5,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.67 : 9,434.10 = 3,852.24 : x
  2. Step 2: Convert to fraction form
    6,835.67/9,434.10 = 3,852.24/x
  3. Step 3: Cross multiply
    6,835.67x = 9,434.10 × 3,852.24
  4. Step 4: Simplify right side
    6,835.67x = 36,342,417.38
  5. Step 5: Solve for x
    x = 36,342,417.38/6,835.67
  6. Step 6: Final answer
    x = 5,316.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.