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Finding the Fourth Proportional to 6,472.26, 8,932.56 and 4,236.06

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Solution

The fourth proportional to 6,472.26, 8,932.56 and 4,236.06 is: 5,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.26 : 8,932.56 = 4,236.06 : x
  2. Step 2: Convert to fraction form
    6,472.26/8,932.56 = 4,236.06/x
  3. Step 3: Cross multiply
    6,472.26x = 8,932.56 × 4,236.06
  4. Step 4: Simplify right side
    6,472.26x = 37,838,860.11
  5. Step 5: Solve for x
    x = 37,838,860.11/6,472.26
  6. Step 6: Final answer
    x = 5,846.31

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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.