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Finding the Fourth Proportional to 6,299.97, 9,395.06 and 5,523.58

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Solution

The fourth proportional to 6,299.97, 9,395.06 and 5,523.58 is: 8,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.97 : 9,395.06 = 5,523.58 : x
  2. Step 2: Convert to fraction form
    6,299.97/9,395.06 = 5,523.58/x
  3. Step 3: Cross multiply
    6,299.97x = 9,395.06 × 5,523.58
  4. Step 4: Simplify right side
    6,299.97x = 51,894,365.51
  5. Step 5: Solve for x
    x = 51,894,365.51/6,299.97
  6. Step 6: Final answer
    x = 8,237.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.