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Finding the Fourth Proportional to 6,497.24, 9,724.25 and 5,189.72

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Solution

The fourth proportional to 6,497.24, 9,724.25 and 5,189.72 is: 7,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.24 : 9,724.25 = 5,189.72 : x
  2. Step 2: Convert to fraction form
    6,497.24/9,724.25 = 5,189.72/x
  3. Step 3: Cross multiply
    6,497.24x = 9,724.25 × 5,189.72
  4. Step 4: Simplify right side
    6,497.24x = 50,466,060.14
  5. Step 5: Solve for x
    x = 50,466,060.14/6,497.24
  6. Step 6: Final answer
    x = 7,767.31

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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.