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Finding the Fourth Proportional to 7,863.48, 11,796.84 and 6,573.96

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Solution

The fourth proportional to 7,863.48, 11,796.84 and 6,573.96 is: 9,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.48 : 11,796.84 = 6,573.96 : x
  2. Step 2: Convert to fraction form
    7,863.48/11,796.84 = 6,573.96/x
  3. Step 3: Cross multiply
    7,863.48x = 11,796.84 × 6,573.96
  4. Step 4: Simplify right side
    7,863.48x = 77,551,954.29
  5. Step 5: Solve for x
    x = 77,551,954.29/7,863.48
  6. Step 6: Final answer
    x = 9,862.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.