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Finding the Fourth Proportional to 7,244.74, 9,997.05 and 5,756.26

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Solution

The fourth proportional to 7,244.74, 9,997.05 and 5,756.26 is: 7,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.74 : 9,997.05 = 5,756.26 : x
  2. Step 2: Convert to fraction form
    7,244.74/9,997.05 = 5,756.26/x
  3. Step 3: Cross multiply
    7,244.74x = 9,997.05 × 5,756.26
  4. Step 4: Simplify right side
    7,244.74x = 57,545,619.03
  5. Step 5: Solve for x
    x = 57,545,619.03/7,244.74
  6. Step 6: Final answer
    x = 7,943.09

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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.