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Finding the Fourth Proportional to 4,498.69, 6,208.14 and 2,509.73

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Solution

The fourth proportional to 4,498.69, 6,208.14 and 2,509.73 is: 3,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.69 : 6,208.14 = 2,509.73 : x
  2. Step 2: Convert to fraction form
    4,498.69/6,208.14 = 2,509.73/x
  3. Step 3: Cross multiply
    4,498.69x = 6,208.14 × 2,509.73
  4. Step 4: Simplify right side
    4,498.69x = 15,580,791.77
  5. Step 5: Solve for x
    x = 15,580,791.77/4,498.69
  6. Step 6: Final answer
    x = 3,463.41

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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.