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Finding the Fourth Proportional to 10,305.54, 14,220.54 and 5,829.12

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Solution

The fourth proportional to 10,305.54, 14,220.54 and 5,829.12 is: 8,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.54 : 14,220.54 = 5,829.12 : x
  2. Step 2: Convert to fraction form
    10,305.54/14,220.54 = 5,829.12/x
  3. Step 3: Cross multiply
    10,305.54x = 14,220.54 × 5,829.12
  4. Step 4: Simplify right side
    10,305.54x = 82,893,234.12
  5. Step 5: Solve for x
    x = 82,893,234.12/10,305.54
  6. Step 6: Final answer
    x = 8,043.56

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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.