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Finding the Fourth Proportional to 6,484.54, 8,948.31 and 3,830.98

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Solution

The fourth proportional to 6,484.54, 8,948.31 and 3,830.98 is: 5,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.54 : 8,948.31 = 3,830.98 : x
  2. Step 2: Convert to fraction form
    6,484.54/8,948.31 = 3,830.98/x
  3. Step 3: Cross multiply
    6,484.54x = 8,948.31 × 3,830.98
  4. Step 4: Simplify right side
    6,484.54x = 34,280,796.64
  5. Step 5: Solve for x
    x = 34,280,796.64/6,484.54
  6. Step 6: Final answer
    x = 5,286.54

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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.