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Finding the Fourth Proportional to 5,233.14, 7,213.06 and 5,094.64

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Solution

The fourth proportional to 5,233.14, 7,213.06 and 5,094.64 is: 7,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.14 : 7,213.06 = 5,094.64 : x
  2. Step 2: Convert to fraction form
    5,233.14/7,213.06 = 5,094.64/x
  3. Step 3: Cross multiply
    5,233.14x = 7,213.06 × 5,094.64
  4. Step 4: Simplify right side
    5,233.14x = 36,747,944.00
  5. Step 5: Solve for x
    x = 36,747,944.00/5,233.14
  6. Step 6: Final answer
    x = 7,022.16

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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.