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Finding the Fourth Proportional to 6,906.48, 9,529.47 and 4,519.95

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Solution

The fourth proportional to 6,906.48, 9,529.47 and 4,519.95 is: 6,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.48 : 9,529.47 = 4,519.95 : x
  2. Step 2: Convert to fraction form
    6,906.48/9,529.47 = 4,519.95/x
  3. Step 3: Cross multiply
    6,906.48x = 9,529.47 × 4,519.95
  4. Step 4: Simplify right side
    6,906.48x = 43,072,727.93
  5. Step 5: Solve for x
    x = 43,072,727.93/6,906.48
  6. Step 6: Final answer
    x = 6,236.57

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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.