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Finding the Fourth Proportional to 6,556.65, 9,837.89 and 3,435.92

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Solution

The fourth proportional to 6,556.65, 9,837.89 and 3,435.92 is: 5,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.65 : 9,837.89 = 3,435.92 : x
  2. Step 2: Convert to fraction form
    6,556.65/9,837.89 = 3,435.92/x
  3. Step 3: Cross multiply
    6,556.65x = 9,837.89 × 3,435.92
  4. Step 4: Simplify right side
    6,556.65x = 33,802,186.42
  5. Step 5: Solve for x
    x = 33,802,186.42/6,556.65
  6. Step 6: Final answer
    x = 5,155.40

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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.