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Finding the Fourth Proportional to 10,220.65, 14,104.65 and 5,972.83

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Solution

The fourth proportional to 10,220.65, 14,104.65 and 5,972.83 is: 8,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.65 : 14,104.65 = 5,972.83 : x
  2. Step 2: Convert to fraction form
    10,220.65/14,104.65 = 5,972.83/x
  3. Step 3: Cross multiply
    10,220.65x = 14,104.65 × 5,972.83
  4. Step 4: Simplify right side
    10,220.65x = 84,244,676.66
  5. Step 5: Solve for x
    x = 84,244,676.66/10,220.65
  6. Step 6: Final answer
    x = 8,242.59

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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.