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Finding the Fourth Proportional to 9,700.92, 13,383.78 and 6,345.66

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Solution

The fourth proportional to 9,700.92, 13,383.78 and 6,345.66 is: 8,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.92 : 13,383.78 = 6,345.66 : x
  2. Step 2: Convert to fraction form
    9,700.92/13,383.78 = 6,345.66/x
  3. Step 3: Cross multiply
    9,700.92x = 13,383.78 × 6,345.66
  4. Step 4: Simplify right side
    9,700.92x = 84,928,917.39
  5. Step 5: Solve for x
    x = 84,928,917.39/9,700.92
  6. Step 6: Final answer
    x = 8,754.73

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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.