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Finding the Fourth Proportional to 6,477.92, 8,939.03 and 3,824.81

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Solution

The fourth proportional to 6,477.92, 8,939.03 and 3,824.81 is: 5,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.92 : 8,939.03 = 3,824.81 : x
  2. Step 2: Convert to fraction form
    6,477.92/8,939.03 = 3,824.81/x
  3. Step 3: Cross multiply
    6,477.92x = 8,939.03 × 3,824.81
  4. Step 4: Simplify right side
    6,477.92x = 34,190,123.24
  5. Step 5: Solve for x
    x = 34,190,123.24/6,477.92
  6. Step 6: Final answer
    x = 5,277.95

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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.