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Finding the Fourth Proportional to 9,698.16, 13,383.90 and 5,719.44

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Solution

The fourth proportional to 9,698.16, 13,383.90 and 5,719.44 is: 7,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.16 : 13,383.90 = 5,719.44 : x
  2. Step 2: Convert to fraction form
    9,698.16/13,383.90 = 5,719.44/x
  3. Step 3: Cross multiply
    9,698.16x = 13,383.90 × 5,719.44
  4. Step 4: Simplify right side
    9,698.16x = 76,548,413.02
  5. Step 5: Solve for x
    x = 76,548,413.02/9,698.16
  6. Step 6: Final answer
    x = 7,893.09

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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.