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Finding the Fourth Proportional to 10,486.98, 14,472.09 and 5,771.34

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Solution

The fourth proportional to 10,486.98, 14,472.09 and 5,771.34 is: 7,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.98 : 14,472.09 = 5,771.34 : x
  2. Step 2: Convert to fraction form
    10,486.98/14,472.09 = 5,771.34/x
  3. Step 3: Cross multiply
    10,486.98x = 14,472.09 × 5,771.34
  4. Step 4: Simplify right side
    10,486.98x = 83,523,351.90
  5. Step 5: Solve for x
    x = 83,523,351.90/10,486.98
  6. Step 6: Final answer
    x = 7,964.48

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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.