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Finding the Fourth Proportional to 9,673.92, 13,349.31 and 5,694.48

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Solution

The fourth proportional to 9,673.92, 13,349.31 and 5,694.48 is: 7,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.92 : 13,349.31 = 5,694.48 : x
  2. Step 2: Convert to fraction form
    9,673.92/13,349.31 = 5,694.48/x
  3. Step 3: Cross multiply
    9,673.92x = 13,349.31 × 5,694.48
  4. Step 4: Simplify right side
    9,673.92x = 76,017,378.81
  5. Step 5: Solve for x
    x = 76,017,378.81/9,673.92
  6. Step 6: Final answer
    x = 7,857.97

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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.