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Finding the Fourth Proportional to 6,910.97, 9,533.03 and 5,020.02

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Solution

The fourth proportional to 6,910.97, 9,533.03 and 5,020.02 is: 6,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.97 : 9,533.03 = 5,020.02 : x
  2. Step 2: Convert to fraction form
    6,910.97/9,533.03 = 5,020.02/x
  3. Step 3: Cross multiply
    6,910.97x = 9,533.03 × 5,020.02
  4. Step 4: Simplify right side
    6,910.97x = 47,855,976.16
  5. Step 5: Solve for x
    x = 47,855,976.16/6,910.97
  6. Step 6: Final answer
    x = 6,924.64

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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.