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Finding the Fourth Proportional to 16,229.69, 24,347.04 and 6,869.76

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Solution

The fourth proportional to 16,229.69, 24,347.04 and 6,869.76 is: 10,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.69 : 24,347.04 = 6,869.76 : x
  2. Step 2: Convert to fraction form
    16,229.69/24,347.04 = 6,869.76/x
  3. Step 3: Cross multiply
    16,229.69x = 24,347.04 × 6,869.76
  4. Step 4: Simplify right side
    16,229.69x = 167,258,321.51
  5. Step 5: Solve for x
    x = 167,258,321.51/16,229.69
  6. Step 6: Final answer
    x = 10,305.70

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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.