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Finding the Fourth Proportional to 7,046.69, 9,724.40 and 4,062.51

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Solution

The fourth proportional to 7,046.69, 9,724.40 and 4,062.51 is: 5,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.69 : 9,724.40 = 4,062.51 : x
  2. Step 2: Convert to fraction form
    7,046.69/9,724.40 = 4,062.51/x
  3. Step 3: Cross multiply
    7,046.69x = 9,724.40 × 4,062.51
  4. Step 4: Simplify right side
    7,046.69x = 39,505,472.24
  5. Step 5: Solve for x
    x = 39,505,472.24/7,046.69
  6. Step 6: Final answer
    x = 5,606.25

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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.