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Finding the Fourth Proportional to 8,166.77, 11,270.14 and 4,629.99

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Solution

The fourth proportional to 8,166.77, 11,270.14 and 4,629.99 is: 6,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.77 : 11,270.14 = 4,629.99 : x
  2. Step 2: Convert to fraction form
    8,166.77/11,270.14 = 4,629.99/x
  3. Step 3: Cross multiply
    8,166.77x = 11,270.14 × 4,629.99
  4. Step 4: Simplify right side
    8,166.77x = 52,180,571.09
  5. Step 5: Solve for x
    x = 52,180,571.09/8,166.77
  6. Step 6: Final answer
    x = 6,389.37

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1.5x scale

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.