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Finding the Fourth Proportional to 10,624.38, 14,661.81 and 6,149.04

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Solution

The fourth proportional to 10,624.38, 14,661.81 and 6,149.04 is: 8,485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.38 : 14,661.81 = 6,149.04 : x
  2. Step 2: Convert to fraction form
    10,624.38/14,661.81 = 6,149.04/x
  3. Step 3: Cross multiply
    10,624.38x = 14,661.81 × 6,149.04
  4. Step 4: Simplify right side
    10,624.38x = 90,156,056.16
  5. Step 5: Solve for x
    x = 90,156,056.16/10,624.38
  6. Step 6: Final answer
    x = 8,485.77

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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.