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Finding the Fourth Proportional to 6,427.93, 9,634.93 and 4,199.74

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Solution

The fourth proportional to 6,427.93, 9,634.93 and 4,199.74 is: 6,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.93 : 9,634.93 = 4,199.74 : x
  2. Step 2: Convert to fraction form
    6,427.93/9,634.93 = 4,199.74/x
  3. Step 3: Cross multiply
    6,427.93x = 9,634.93 × 4,199.74
  4. Step 4: Simplify right side
    6,427.93x = 40,464,200.92
  5. Step 5: Solve for x
    x = 40,464,200.92/6,427.93
  6. Step 6: Final answer
    x = 6,295.06

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1.5x scale

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.