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Finding the Fourth Proportional to 6,356.25, 8,774.01 and 3,704.49

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Solution

The fourth proportional to 6,356.25, 8,774.01 and 3,704.49 is: 5,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.25 : 8,774.01 = 3,704.49 : x
  2. Step 2: Convert to fraction form
    6,356.25/8,774.01 = 3,704.49/x
  3. Step 3: Cross multiply
    6,356.25x = 8,774.01 × 3,704.49
  4. Step 4: Simplify right side
    6,356.25x = 32,503,232.30
  5. Step 5: Solve for x
    x = 32,503,232.30/6,356.25
  6. Step 6: Final answer
    x = 5,113.59

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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.