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Finding the Fourth Proportional to 5,125.26, 7,693.97 and 4,313.64

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Solution

The fourth proportional to 5,125.26, 7,693.97 and 4,313.64 is: 6,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.26 : 7,693.97 = 4,313.64 : x
  2. Step 2: Convert to fraction form
    5,125.26/7,693.97 = 4,313.64/x
  3. Step 3: Cross multiply
    5,125.26x = 7,693.97 × 4,313.64
  4. Step 4: Simplify right side
    5,125.26x = 33,188,995.18
  5. Step 5: Solve for x
    x = 33,188,995.18/5,125.26
  6. Step 6: Final answer
    x = 6,475.57

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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.