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Finding the Fourth Proportional to 10,297.89, 14,213.63 and 6,765.89

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Solution

The fourth proportional to 10,297.89, 14,213.63 and 6,765.89 is: 9,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.89 : 14,213.63 = 6,765.89 : x
  2. Step 2: Convert to fraction form
    10,297.89/14,213.63 = 6,765.89/x
  3. Step 3: Cross multiply
    10,297.89x = 14,213.63 × 6,765.89
  4. Step 4: Simplify right side
    10,297.89x = 96,167,752.18
  5. Step 5: Solve for x
    x = 96,167,752.18/10,297.89
  6. Step 6: Final answer
    x = 9,338.59

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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.