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Finding the Fourth Proportional to 5,258.10, 7,844.06 and 5,115.09

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Solution

The fourth proportional to 5,258.10, 7,844.06 and 5,115.09 is: 7,630.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.10 : 7,844.06 = 5,115.09 : x
  2. Step 2: Convert to fraction form
    5,258.10/7,844.06 = 5,115.09/x
  3. Step 3: Cross multiply
    5,258.10x = 7,844.06 × 5,115.09
  4. Step 4: Simplify right side
    5,258.10x = 40,123,072.87
  5. Step 5: Solve for x
    x = 40,123,072.87/5,258.10
  6. Step 6: Final answer
    x = 7,630.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.