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Finding the Fourth Proportional to 7,213.84, 9,952.83 and 5,696.62

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Solution

The fourth proportional to 7,213.84, 9,952.83 and 5,696.62 is: 7,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.84 : 9,952.83 = 5,696.62 : x
  2. Step 2: Convert to fraction form
    7,213.84/9,952.83 = 5,696.62/x
  3. Step 3: Cross multiply
    7,213.84x = 9,952.83 × 5,696.62
  4. Step 4: Simplify right side
    7,213.84x = 56,697,490.43
  5. Step 5: Solve for x
    x = 56,697,490.43/7,213.84
  6. Step 6: Final answer
    x = 7,859.54

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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.