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Finding the Fourth Proportional to 9,659.92, 13,332 and 5,683.36

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Solution

The fourth proportional to 9,659.92, 13,332 and 5,683.36 is: 7,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.92 : 13,332 = 5,683.36 : x
  2. Step 2: Convert to fraction form
    9,659.92/13,332 = 5,683.36/x
  3. Step 3: Cross multiply
    9,659.92x = 13,332 × 5,683.36
  4. Step 4: Simplify right side
    9,659.92x = 75,770,555.52
  5. Step 5: Solve for x
    x = 75,770,555.52/9,659.92
  6. Step 6: Final answer
    x = 7,843.81

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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.