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Finding the Fourth Proportional to 8,624, 11,901.12 and 4,898

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Solution

The fourth proportional to 8,624, 11,901.12 and 4,898 is: 6,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624 : 11,901.12 = 4,898 : x
  2. Step 2: Convert to fraction form
    8,624/11,901.12 = 4,898/x
  3. Step 3: Cross multiply
    8,624x = 11,901.12 × 4,898
  4. Step 4: Simplify right side
    8,624x = 58,291,685.76
  5. Step 5: Solve for x
    x = 58,291,685.76/8,624
  6. Step 6: Final answer
    x = 6,759.24

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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.