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Finding the Fourth Proportional to 9,791.22, 14,662.22 and 7,724.51

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Solution

The fourth proportional to 9,791.22, 14,662.22 and 7,724.51 is: 11,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.22 : 14,662.22 = 7,724.51 : x
  2. Step 2: Convert to fraction form
    9,791.22/14,662.22 = 7,724.51/x
  3. Step 3: Cross multiply
    9,791.22x = 14,662.22 × 7,724.51
  4. Step 4: Simplify right side
    9,791.22x = 113,258,411.01
  5. Step 5: Solve for x
    x = 113,258,411.01/9,791.22
  6. Step 6: Final answer
    x = 11,567.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.