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Finding the Fourth Proportional to 6,415.62, 8,840.43 and 4,734.38

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Solution

The fourth proportional to 6,415.62, 8,840.43 and 4,734.38 is: 6,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.62 : 8,840.43 = 4,734.38 : x
  2. Step 2: Convert to fraction form
    6,415.62/8,840.43 = 4,734.38/x
  3. Step 3: Cross multiply
    6,415.62x = 8,840.43 × 4,734.38
  4. Step 4: Simplify right side
    6,415.62x = 41,853,954.98
  5. Step 5: Solve for x
    x = 41,853,954.98/6,415.62
  6. Step 6: Final answer
    x = 6,523.76

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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.