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Finding the Fourth Proportional to 12,491.84, 18,737.68 and 5,096.16

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Solution

The fourth proportional to 12,491.84, 18,737.68 and 5,096.16 is: 7,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.84 : 18,737.68 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    12,491.84/18,737.68 = 5,096.16/x
  3. Step 3: Cross multiply
    12,491.84x = 18,737.68 × 5,096.16
  4. Step 4: Simplify right side
    12,491.84x = 95,490,215.31
  5. Step 5: Solve for x
    x = 95,490,215.31/12,491.84
  6. Step 6: Final answer
    x = 7,644.21

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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.