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Finding the Fourth Proportional to 8,254.38, 11,391 and 4,477.62

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Solution

The fourth proportional to 8,254.38, 11,391 and 4,477.62 is: 6,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.38 : 11,391 = 4,477.62 : x
  2. Step 2: Convert to fraction form
    8,254.38/11,391 = 4,477.62/x
  3. Step 3: Cross multiply
    8,254.38x = 11,391 × 4,477.62
  4. Step 4: Simplify right side
    8,254.38x = 51,004,569.42
  5. Step 5: Solve for x
    x = 51,004,569.42/8,254.38
  6. Step 6: Final answer
    x = 6,179.09

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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.