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Finding the Fourth Proportional to 10,297.38, 14,212.93 and 6,765.38

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Solution

The fourth proportional to 10,297.38, 14,212.93 and 6,765.38 is: 9,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.38 : 14,212.93 = 6,765.38 : x
  2. Step 2: Convert to fraction form
    10,297.38/14,212.93 = 6,765.38/x
  3. Step 3: Cross multiply
    10,297.38x = 14,212.93 × 6,765.38
  4. Step 4: Simplify right side
    10,297.38x = 96,155,872.36
  5. Step 5: Solve for x
    x = 96,155,872.36/10,297.38
  6. Step 6: Final answer
    x = 9,337.90

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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.