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Finding the Fourth Proportional to 6,434.73, 8,824.52 and 6,097.77

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Solution

The fourth proportional to 6,434.73, 8,824.52 and 6,097.77 is: 8,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.73 : 8,824.52 = 6,097.77 : x
  2. Step 2: Convert to fraction form
    6,434.73/8,824.52 = 6,097.77/x
  3. Step 3: Cross multiply
    6,434.73x = 8,824.52 × 6,097.77
  4. Step 4: Simplify right side
    6,434.73x = 53,809,908.56
  5. Step 5: Solve for x
    x = 53,809,908.56/6,434.73
  6. Step 6: Final answer
    x = 8,362.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.