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Finding the Fourth Proportional to 6,378, 8,801.48 and 3,545.38

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Solution

The fourth proportional to 6,378, 8,801.48 and 3,545.38 is: 4,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378 : 8,801.48 = 3,545.38 : x
  2. Step 2: Convert to fraction form
    6,378/8,801.48 = 3,545.38/x
  3. Step 3: Cross multiply
    6,378x = 8,801.48 × 3,545.38
  4. Step 4: Simplify right side
    6,378x = 31,204,591.16
  5. Step 5: Solve for x
    x = 31,204,591.16/6,378
  6. Step 6: Final answer
    x = 4,892.54

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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.