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Finding the Fourth Proportional to 9,392.22, 12,958.26 and 5,666.22

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Solution

The fourth proportional to 9,392.22, 12,958.26 and 5,666.22 is: 7,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.22 : 12,958.26 = 5,666.22 : x
  2. Step 2: Convert to fraction form
    9,392.22/12,958.26 = 5,666.22/x
  3. Step 3: Cross multiply
    9,392.22x = 12,958.26 × 5,666.22
  4. Step 4: Simplify right side
    9,392.22x = 73,424,351.98
  5. Step 5: Solve for x
    x = 73,424,351.98/9,392.22
  6. Step 6: Final answer
    x = 7,817.57

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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.