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Finding the Fourth Proportional to 7,773.25, 11,649.42 and 4,258

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Solution

The fourth proportional to 7,773.25, 11,649.42 and 4,258 is: 6,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.25 : 11,649.42 = 4,258 : x
  2. Step 2: Convert to fraction form
    7,773.25/11,649.42 = 4,258/x
  3. Step 3: Cross multiply
    7,773.25x = 11,649.42 × 4,258
  4. Step 4: Simplify right side
    7,773.25x = 49,603,230.36
  5. Step 5: Solve for x
    x = 49,603,230.36/7,773.25
  6. Step 6: Final answer
    x = 6,381.27

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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.