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Finding the Fourth Proportional to 6,710.86, 9,260 and 3,726.72

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Solution

The fourth proportional to 6,710.86, 9,260 and 3,726.72 is: 5,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.86 : 9,260 = 3,726.72 : x
  2. Step 2: Convert to fraction form
    6,710.86/9,260 = 3,726.72/x
  3. Step 3: Cross multiply
    6,710.86x = 9,260 × 3,726.72
  4. Step 4: Simplify right side
    6,710.86x = 34,509,427.20
  5. Step 5: Solve for x
    x = 34,509,427.20/6,710.86
  6. Step 6: Final answer
    x = 5,142.33

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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.