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Finding the Fourth Proportional to 6,954.16, 9,597.66 and 3,969.32

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Solution

The fourth proportional to 6,954.16, 9,597.66 and 3,969.32 is: 5,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.16 : 9,597.66 = 3,969.32 : x
  2. Step 2: Convert to fraction form
    6,954.16/9,597.66 = 3,969.32/x
  3. Step 3: Cross multiply
    6,954.16x = 9,597.66 × 3,969.32
  4. Step 4: Simplify right side
    6,954.16x = 38,096,183.79
  5. Step 5: Solve for x
    x = 38,096,183.79/6,954.16
  6. Step 6: Final answer
    x = 5,478.19

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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.