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Finding the Fourth Proportional to 6,152.96, 9,234.30 and 2,258.48

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Solution

The fourth proportional to 6,152.96, 9,234.30 and 2,258.48 is: 3,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.96 : 9,234.30 = 2,258.48 : x
  2. Step 2: Convert to fraction form
    6,152.96/9,234.30 = 2,258.48/x
  3. Step 3: Cross multiply
    6,152.96x = 9,234.30 × 2,258.48
  4. Step 4: Simplify right side
    6,152.96x = 20,855,513.42
  5. Step 5: Solve for x
    x = 20,855,513.42/6,152.96
  6. Step 6: Final answer
    x = 3,389.51

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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.