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Finding the Fourth Proportional to 8,571.31, 11,828.78 and 4,794.46

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Solution

The fourth proportional to 8,571.31, 11,828.78 and 4,794.46 is: 6,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.31 : 11,828.78 = 4,794.46 : x
  2. Step 2: Convert to fraction form
    8,571.31/11,828.78 = 4,794.46/x
  3. Step 3: Cross multiply
    8,571.31x = 11,828.78 × 4,794.46
  4. Step 4: Simplify right side
    8,571.31x = 56,712,612.56
  5. Step 5: Solve for x
    x = 56,712,612.56/8,571.31
  6. Step 6: Final answer
    x = 6,616.56

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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.