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Finding the Fourth Proportional to 6,564.77, 9,824.03 and 4,100.75

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Solution

The fourth proportional to 6,564.77, 9,824.03 and 4,100.75 is: 6,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.77 : 9,824.03 = 4,100.75 : x
  2. Step 2: Convert to fraction form
    6,564.77/9,824.03 = 4,100.75/x
  3. Step 3: Cross multiply
    6,564.77x = 9,824.03 × 4,100.75
  4. Step 4: Simplify right side
    6,564.77x = 40,285,870.52
  5. Step 5: Solve for x
    x = 40,285,870.52/6,564.77
  6. Step 6: Final answer
    x = 6,136.68

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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.