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Finding the Fourth Proportional to 6,148.82, 8,485.74 and 3,496.74

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Solution

The fourth proportional to 6,148.82, 8,485.74 and 3,496.74 is: 4,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.82 : 8,485.74 = 3,496.74 : x
  2. Step 2: Convert to fraction form
    6,148.82/8,485.74 = 3,496.74/x
  3. Step 3: Cross multiply
    6,148.82x = 8,485.74 × 3,496.74
  4. Step 4: Simplify right side
    6,148.82x = 29,672,426.49
  5. Step 5: Solve for x
    x = 29,672,426.49/6,148.82
  6. Step 6: Final answer
    x = 4,825.71

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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.