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Finding the Fourth Proportional to 6,556.87, 9,837.13 and 2,859.42

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Solution

The fourth proportional to 6,556.87, 9,837.13 and 2,859.42 is: 4,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.87 : 9,837.13 = 2,859.42 : x
  2. Step 2: Convert to fraction form
    6,556.87/9,837.13 = 2,859.42/x
  3. Step 3: Cross multiply
    6,556.87x = 9,837.13 × 2,859.42
  4. Step 4: Simplify right side
    6,556.87x = 28,128,486.26
  5. Step 5: Solve for x
    x = 28,128,486.26/6,556.87
  6. Step 6: Final answer
    x = 4,289.93

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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.