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Finding the Fourth Proportional to 6,966, 10,441.72 and 3,265.24

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Solution

The fourth proportional to 6,966, 10,441.72 and 3,265.24 is: 4,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 10,441.72 = 3,265.24 : x
  2. Step 2: Convert to fraction form
    6,966/10,441.72 = 3,265.24/x
  3. Step 3: Cross multiply
    6,966x = 10,441.72 × 3,265.24
  4. Step 4: Simplify right side
    6,966x = 34,094,721.81
  5. Step 5: Solve for x
    x = 34,094,721.81/6,966
  6. Step 6: Final answer
    x = 4,894.45

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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.