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Finding the Fourth Proportional to 9,424, 14,136 and 2,498.56

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Solution

The fourth proportional to 9,424, 14,136 and 2,498.56 is: 3,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424 : 14,136 = 2,498.56 : x
  2. Step 2: Convert to fraction form
    9,424/14,136 = 2,498.56/x
  3. Step 3: Cross multiply
    9,424x = 14,136 × 2,498.56
  4. Step 4: Simplify right side
    9,424x = 35,319,644.16
  5. Step 5: Solve for x
    x = 35,319,644.16/9,424
  6. Step 6: Final answer
    x = 3,747.84

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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.