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Finding the Fourth Proportional to 6,702.72, 10,057.80 and 3,416.40

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Solution

The fourth proportional to 6,702.72, 10,057.80 and 3,416.40 is: 5,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.72 : 10,057.80 = 3,416.40 : x
  2. Step 2: Convert to fraction form
    6,702.72/10,057.80 = 3,416.40/x
  3. Step 3: Cross multiply
    6,702.72x = 10,057.80 × 3,416.40
  4. Step 4: Simplify right side
    6,702.72x = 34,361,467.92
  5. Step 5: Solve for x
    x = 34,361,467.92/6,702.72
  6. Step 6: Final answer
    x = 5,126.50

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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.