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Finding the Fourth Proportional to 6,564.50, 9,034.44 and 6,033.41

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Solution

The fourth proportional to 6,564.50, 9,034.44 and 6,033.41 is: 8,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.50 : 9,034.44 = 6,033.41 : x
  2. Step 2: Convert to fraction form
    6,564.50/9,034.44 = 6,033.41/x
  3. Step 3: Cross multiply
    6,564.50x = 9,034.44 × 6,033.41
  4. Step 4: Simplify right side
    6,564.50x = 54,508,435.47
  5. Step 5: Solve for x
    x = 54,508,435.47/6,564.50
  6. Step 6: Final answer
    x = 8,303.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.