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Finding the Fourth Proportional to 7,046.75, 9,722.16 and 4,062.53

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Solution

The fourth proportional to 7,046.75, 9,722.16 and 4,062.53 is: 5,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.75 : 9,722.16 = 4,062.53 : x
  2. Step 2: Convert to fraction form
    7,046.75/9,722.16 = 4,062.53/x
  3. Step 3: Cross multiply
    7,046.75x = 9,722.16 × 4,062.53
  4. Step 4: Simplify right side
    7,046.75x = 39,496,566.66
  5. Step 5: Solve for x
    x = 39,496,566.66/7,046.75
  6. Step 6: Final answer
    x = 5,604.93

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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.