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Finding the Fourth Proportional to 8,232.96, 11,361.28 and 4,695.96

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Solution

The fourth proportional to 8,232.96, 11,361.28 and 4,695.96 is: 6,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.96 : 11,361.28 = 4,695.96 : x
  2. Step 2: Convert to fraction form
    8,232.96/11,361.28 = 4,695.96/x
  3. Step 3: Cross multiply
    8,232.96x = 11,361.28 × 4,695.96
  4. Step 4: Simplify right side
    8,232.96x = 53,352,116.43
  5. Step 5: Solve for x
    x = 53,352,116.43/8,232.96
  6. Step 6: Final answer
    x = 6,480.31

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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.