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Finding the Fourth Proportional to 6,556.26, 9,818.20 and 4,886.38

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Solution

The fourth proportional to 6,556.26, 9,818.20 and 4,886.38 is: 7,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.26 : 9,818.20 = 4,886.38 : x
  2. Step 2: Convert to fraction form
    6,556.26/9,818.20 = 4,886.38/x
  3. Step 3: Cross multiply
    6,556.26x = 9,818.20 × 4,886.38
  4. Step 4: Simplify right side
    6,556.26x = 47,975,456.12
  5. Step 5: Solve for x
    x = 47,975,456.12/6,556.26
  6. Step 6: Final answer
    x = 7,317.50

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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.