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Finding the Fourth Proportional to 6,556.32, 9,836.28 and 3,395.16

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Solution

The fourth proportional to 6,556.32, 9,836.28 and 3,395.16 is: 5,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.32 : 9,836.28 = 3,395.16 : x
  2. Step 2: Convert to fraction form
    6,556.32/9,836.28 = 3,395.16/x
  3. Step 3: Cross multiply
    6,556.32x = 9,836.28 × 3,395.16
  4. Step 4: Simplify right side
    6,556.32x = 33,395,744.40
  5. Step 5: Solve for x
    x = 33,395,744.40/6,556.32
  6. Step 6: Final answer
    x = 5,093.67

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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.