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Finding the Fourth Proportional to 9,133.97, 12,604.88 and 4,942.22

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Solution

The fourth proportional to 9,133.97, 12,604.88 and 4,942.22 is: 6,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.97 : 12,604.88 = 4,942.22 : x
  2. Step 2: Convert to fraction form
    9,133.97/12,604.88 = 4,942.22/x
  3. Step 3: Cross multiply
    9,133.97x = 12,604.88 × 4,942.22
  4. Step 4: Simplify right side
    9,133.97x = 62,296,096.83
  5. Step 5: Solve for x
    x = 62,296,096.83/9,133.97
  6. Step 6: Final answer
    x = 6,820.26

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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.