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Finding the Fourth Proportional to 6,702, 9,248.74 and 4,048.91

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Solution

The fourth proportional to 6,702, 9,248.74 and 4,048.91 is: 5,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 9,248.74 = 4,048.91 : x
  2. Step 2: Convert to fraction form
    6,702/9,248.74 = 4,048.91/x
  3. Step 3: Cross multiply
    6,702x = 9,248.74 × 4,048.91
  4. Step 4: Simplify right side
    6,702x = 37,447,315.87
  5. Step 5: Solve for x
    x = 37,447,315.87/6,702
  6. Step 6: Final answer
    x = 5,587.48

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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.