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Finding the Fourth Proportional to 6,865.42, 10,292.04 and 3,353.50

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Solution

The fourth proportional to 6,865.42, 10,292.04 and 3,353.50 is: 5,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.42 : 10,292.04 = 3,353.50 : x
  2. Step 2: Convert to fraction form
    6,865.42/10,292.04 = 3,353.50/x
  3. Step 3: Cross multiply
    6,865.42x = 10,292.04 × 3,353.50
  4. Step 4: Simplify right side
    6,865.42x = 34,514,356.14
  5. Step 5: Solve for x
    x = 34,514,356.14/6,865.42
  6. Step 6: Final answer
    x = 5,027.28

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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.