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Finding the Fourth Proportional to 6,954.40, 9,593.86 and 6,158.54

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Solution

The fourth proportional to 6,954.40, 9,593.86 and 6,158.54 is: 8,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.40 : 9,593.86 = 6,158.54 : x
  2. Step 2: Convert to fraction form
    6,954.40/9,593.86 = 6,158.54/x
  3. Step 3: Cross multiply
    6,954.40x = 9,593.86 × 6,158.54
  4. Step 4: Simplify right side
    6,954.40x = 59,084,170.56
  5. Step 5: Solve for x
    x = 59,084,170.56/6,954.40
  6. Step 6: Final answer
    x = 8,495.94

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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.