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Finding the Fourth Proportional to 9,424.53, 14,136.53 and 3,876.30

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Solution

The fourth proportional to 9,424.53, 14,136.53 and 3,876.30 is: 5,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.53 : 14,136.53 = 3,876.30 : x
  2. Step 2: Convert to fraction form
    9,424.53/14,136.53 = 3,876.30/x
  3. Step 3: Cross multiply
    9,424.53x = 14,136.53 × 3,876.30
  4. Step 4: Simplify right side
    9,424.53x = 54,797,411.86
  5. Step 5: Solve for x
    x = 54,797,411.86/9,424.53
  6. Step 6: Final answer
    x = 5,814.34

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1.5x scale

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.