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Finding the Fourth Proportional to 9,298.57, 12,825.66 and 5,939.89

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Solution

The fourth proportional to 9,298.57, 12,825.66 and 5,939.89 is: 8,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.57 : 12,825.66 = 5,939.89 : x
  2. Step 2: Convert to fraction form
    9,298.57/12,825.66 = 5,939.89/x
  3. Step 3: Cross multiply
    9,298.57x = 12,825.66 × 5,939.89
  4. Step 4: Simplify right side
    9,298.57x = 76,183,003.33
  5. Step 5: Solve for x
    x = 76,183,003.33/9,298.57
  6. Step 6: Final answer
    x = 8,192.98

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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.