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Finding the Fourth Proportional to 9,797.54, 14,696.24 and 3,954.06

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Solution

The fourth proportional to 9,797.54, 14,696.24 and 3,954.06 is: 5,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.54 : 14,696.24 = 3,954.06 : x
  2. Step 2: Convert to fraction form
    9,797.54/14,696.24 = 3,954.06/x
  3. Step 3: Cross multiply
    9,797.54x = 14,696.24 × 3,954.06
  4. Step 4: Simplify right side
    9,797.54x = 58,109,794.96
  5. Step 5: Solve for x
    x = 58,109,794.96/9,797.54
  6. Step 6: Final answer
    x = 5,931.06

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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.