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Finding the Fourth Proportional to 10,220.54, 14,103.89 and 5,971.99

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Solution

The fourth proportional to 10,220.54, 14,103.89 and 5,971.99 is: 8,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.54 : 14,103.89 = 5,971.99 : x
  2. Step 2: Convert to fraction form
    10,220.54/14,103.89 = 5,971.99/x
  3. Step 3: Cross multiply
    10,220.54x = 14,103.89 × 5,971.99
  4. Step 4: Simplify right side
    10,220.54x = 84,228,290.04
  5. Step 5: Solve for x
    x = 84,228,290.04/10,220.54
  6. Step 6: Final answer
    x = 8,241.08

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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.