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Finding the Fourth Proportional to 6,952.47, 10,430.46 and 2,022

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Solution

The fourth proportional to 6,952.47, 10,430.46 and 2,022 is: 3,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.47 : 10,430.46 = 2,022 : x
  2. Step 2: Convert to fraction form
    6,952.47/10,430.46 = 2,022/x
  3. Step 3: Cross multiply
    6,952.47x = 10,430.46 × 2,022
  4. Step 4: Simplify right side
    6,952.47x = 21,090,390.12
  5. Step 5: Solve for x
    x = 21,090,390.12/6,952.47
  6. Step 6: Final answer
    x = 3,033.51

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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.