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Finding the Fourth Proportional to 6,556.08, 9,834.72 and 1,876.08

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Solution

The fourth proportional to 6,556.08, 9,834.72 and 1,876.08 is: 2,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.08 : 9,834.72 = 1,876.08 : x
  2. Step 2: Convert to fraction form
    6,556.08/9,834.72 = 1,876.08/x
  3. Step 3: Cross multiply
    6,556.08x = 9,834.72 × 1,876.08
  4. Step 4: Simplify right side
    6,556.08x = 18,450,721.50
  5. Step 5: Solve for x
    x = 18,450,721.50/6,556.08
  6. Step 6: Final answer
    x = 2,814.29

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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.