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Finding the Fourth Proportional to 7,514, 10,369.36 and 4,202

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Solution

The fourth proportional to 7,514, 10,369.36 and 4,202 is: 5,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514 : 10,369.36 = 4,202 : x
  2. Step 2: Convert to fraction form
    7,514/10,369.36 = 4,202/x
  3. Step 3: Cross multiply
    7,514x = 10,369.36 × 4,202
  4. Step 4: Simplify right side
    7,514x = 43,572,050.72
  5. Step 5: Solve for x
    x = 43,572,050.72/7,514
  6. Step 6: Final answer
    x = 5,798.78

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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.