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Finding the Fourth Proportional to 7,094.36, 9,791 and 4,110.16

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Solution

The fourth proportional to 7,094.36, 9,791 and 4,110.16 is: 5,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.36 : 9,791 = 4,110.16 : x
  2. Step 2: Convert to fraction form
    7,094.36/9,791 = 4,110.16/x
  3. Step 3: Cross multiply
    7,094.36x = 9,791 × 4,110.16
  4. Step 4: Simplify right side
    7,094.36x = 40,242,576.56
  5. Step 5: Solve for x
    x = 40,242,576.56/7,094.36
  6. Step 6: Final answer
    x = 5,672.47

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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.