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Finding the Fourth Proportional to 9,193.67, 13,773.15 and 5,434.22

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Solution

The fourth proportional to 9,193.67, 13,773.15 and 5,434.22 is: 8,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.67 : 13,773.15 = 5,434.22 : x
  2. Step 2: Convert to fraction form
    9,193.67/13,773.15 = 5,434.22/x
  3. Step 3: Cross multiply
    9,193.67x = 13,773.15 × 5,434.22
  4. Step 4: Simplify right side
    9,193.67x = 74,846,361.63
  5. Step 5: Solve for x
    x = 74,846,361.63/9,193.67
  6. Step 6: Final answer
    x = 8,141.08

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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.