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Finding the Fourth Proportional to 9,993.68, 13,791.48 and 5,802.32

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Solution

The fourth proportional to 9,993.68, 13,791.48 and 5,802.32 is: 8,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.68 : 13,791.48 = 5,802.32 : x
  2. Step 2: Convert to fraction form
    9,993.68/13,791.48 = 5,802.32/x
  3. Step 3: Cross multiply
    9,993.68x = 13,791.48 × 5,802.32
  4. Step 4: Simplify right side
    9,993.68x = 80,022,580.23
  5. Step 5: Solve for x
    x = 80,022,580.23/9,993.68
  6. Step 6: Final answer
    x = 8,007.32

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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.