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Finding the Fourth Proportional to 16,247, 24,371.72 and 9,224.30

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Solution

The fourth proportional to 16,247, 24,371.72 and 9,224.30 is: 13,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,247 : 24,371.72 = 9,224.30 : x
  2. Step 2: Convert to fraction form
    16,247/24,371.72 = 9,224.30/x
  3. Step 3: Cross multiply
    16,247x = 24,371.72 × 9,224.30
  4. Step 4: Simplify right side
    16,247x = 224,812,056.80
  5. Step 5: Solve for x
    x = 224,812,056.80/16,247
  6. Step 6: Final answer
    x = 13,837.14

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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.