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Finding the Fourth Proportional to 9,301.56, 12,825.32 and 6,939.60

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Solution

The fourth proportional to 9,301.56, 12,825.32 and 6,939.60 is: 9,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.56 : 12,825.32 = 6,939.60 : x
  2. Step 2: Convert to fraction form
    9,301.56/12,825.32 = 6,939.60/x
  3. Step 3: Cross multiply
    9,301.56x = 12,825.32 × 6,939.60
  4. Step 4: Simplify right side
    9,301.56x = 89,002,555.97
  5. Step 5: Solve for x
    x = 89,002,555.97/9,301.56
  6. Step 6: Final answer
    x = 9,568.56

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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.