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Finding the Fourth Proportional to 6,469.57, 8,929.02 and 3,817.23

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Solution

The fourth proportional to 6,469.57, 8,929.02 and 3,817.23 is: 5,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.57 : 8,929.02 = 3,817.23 : x
  2. Step 2: Convert to fraction form
    6,469.57/8,929.02 = 3,817.23/x
  3. Step 3: Cross multiply
    6,469.57x = 8,929.02 × 3,817.23
  4. Step 4: Simplify right side
    6,469.57x = 34,084,123.01
  5. Step 5: Solve for x
    x = 34,084,123.01/6,469.57
  6. Step 6: Final answer
    x = 5,268.38

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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.