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Finding the Fourth Proportional to 8,238.95, 11,375 and 5,411.33

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Solution

The fourth proportional to 8,238.95, 11,375 and 5,411.33 is: 7,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.95 : 11,375 = 5,411.33 : x
  2. Step 2: Convert to fraction form
    8,238.95/11,375 = 5,411.33/x
  3. Step 3: Cross multiply
    8,238.95x = 11,375 × 5,411.33
  4. Step 4: Simplify right side
    8,238.95x = 61,553,878.75
  5. Step 5: Solve for x
    x = 61,553,878.75/8,238.95
  6. Step 6: Final answer
    x = 7,471.08

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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.