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Finding the Fourth Proportional to 7,917, 10,930.02 and 6,057.48

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Solution

The fourth proportional to 7,917, 10,930.02 and 6,057.48 is: 8,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 10,930.02 = 6,057.48 : x
  2. Step 2: Convert to fraction form
    7,917/10,930.02 = 6,057.48/x
  3. Step 3: Cross multiply
    7,917x = 10,930.02 × 6,057.48
  4. Step 4: Simplify right side
    7,917x = 66,208,377.55
  5. Step 5: Solve for x
    x = 66,208,377.55/7,917
  6. Step 6: Final answer
    x = 8,362.81

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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.