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Finding the Fourth Proportional to 5,053.69, 6,974.76 and 3,064.24

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Solution

The fourth proportional to 5,053.69, 6,974.76 and 3,064.24 is: 4,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.69 : 6,974.76 = 3,064.24 : x
  2. Step 2: Convert to fraction form
    5,053.69/6,974.76 = 3,064.24/x
  3. Step 3: Cross multiply
    5,053.69x = 6,974.76 × 3,064.24
  4. Step 4: Simplify right side
    5,053.69x = 21,372,338.58
  5. Step 5: Solve for x
    x = 21,372,338.58/5,053.69
  6. Step 6: Final answer
    x = 4,229.06

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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.