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Finding the Fourth Proportional to 15,246.84, 22,874.58 and 6,483

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Solution

The fourth proportional to 15,246.84, 22,874.58 and 6,483 is: 9,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246.84 : 22,874.58 = 6,483 : x
  2. Step 2: Convert to fraction form
    15,246.84/22,874.58 = 6,483/x
  3. Step 3: Cross multiply
    15,246.84x = 22,874.58 × 6,483
  4. Step 4: Simplify right side
    15,246.84x = 148,295,902.14
  5. Step 5: Solve for x
    x = 148,295,902.14/15,246.84
  6. Step 6: Final answer
    x = 9,726.34

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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.