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Finding the Fourth Proportional to 10,673.92, 16,014.30 and 4,828.96

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Solution

The fourth proportional to 10,673.92, 16,014.30 and 4,828.96 is: 7,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.92 : 16,014.30 = 4,828.96 : x
  2. Step 2: Convert to fraction form
    10,673.92/16,014.30 = 4,828.96/x
  3. Step 3: Cross multiply
    10,673.92x = 16,014.30 × 4,828.96
  4. Step 4: Simplify right side
    10,673.92x = 77,332,414.13
  5. Step 5: Solve for x
    x = 77,332,414.13/10,673.92
  6. Step 6: Final answer
    x = 7,244.99

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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.