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Finding the Fourth Proportional to 6,775.72, 10,135.50 and 6,361

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Solution

The fourth proportional to 6,775.72, 10,135.50 and 6,361 is: 9,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.72 : 10,135.50 = 6,361 : x
  2. Step 2: Convert to fraction form
    6,775.72/10,135.50 = 6,361/x
  3. Step 3: Cross multiply
    6,775.72x = 10,135.50 × 6,361
  4. Step 4: Simplify right side
    6,775.72x = 64,471,915.50
  5. Step 5: Solve for x
    x = 64,471,915.50/6,775.72
  6. Step 6: Final answer
    x = 9,515.14

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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.