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Finding the Fourth Proportional to 6,906.05, 9,530.02 and 3,921.49

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Solution

The fourth proportional to 6,906.05, 9,530.02 and 3,921.49 is: 5,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.05 : 9,530.02 = 3,921.49 : x
  2. Step 2: Convert to fraction form
    6,906.05/9,530.02 = 3,921.49/x
  3. Step 3: Cross multiply
    6,906.05x = 9,530.02 × 3,921.49
  4. Step 4: Simplify right side
    6,906.05x = 37,371,878.13
  5. Step 5: Solve for x
    x = 37,371,878.13/6,906.05
  6. Step 6: Final answer
    x = 5,411.47

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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.