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Finding the Fourth Proportional to 10,542.92, 14,550.18 and 5,828.12

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Solution

The fourth proportional to 10,542.92, 14,550.18 and 5,828.12 is: 8,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.92 : 14,550.18 = 5,828.12 : x
  2. Step 2: Convert to fraction form
    10,542.92/14,550.18 = 5,828.12/x
  3. Step 3: Cross multiply
    10,542.92x = 14,550.18 × 5,828.12
  4. Step 4: Simplify right side
    10,542.92x = 84,800,195.06
  5. Step 5: Solve for x
    x = 84,800,195.06/10,542.92
  6. Step 6: Final answer
    x = 8,043.33

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1.5x scale

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.