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Finding the Fourth Proportional to 6,483, 9,726.24 and 2,590.14

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Solution

The fourth proportional to 6,483, 9,726.24 and 2,590.14 is: 3,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 9,726.24 = 2,590.14 : x
  2. Step 2: Convert to fraction form
    6,483/9,726.24 = 2,590.14/x
  3. Step 3: Cross multiply
    6,483x = 9,726.24 × 2,590.14
  4. Step 4: Simplify right side
    6,483x = 25,192,323.27
  5. Step 5: Solve for x
    x = 25,192,323.27/6,483
  6. Step 6: Final answer
    x = 3,885.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.