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Finding the Fourth Proportional to 6,702.87, 10,024.12 and 5,122.07

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Solution

The fourth proportional to 6,702.87, 10,024.12 and 5,122.07 is: 7,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.87 : 10,024.12 = 5,122.07 : x
  2. Step 2: Convert to fraction form
    6,702.87/10,024.12 = 5,122.07/x
  3. Step 3: Cross multiply
    6,702.87x = 10,024.12 × 5,122.07
  4. Step 4: Simplify right side
    6,702.87x = 51,344,238.20
  5. Step 5: Solve for x
    x = 51,344,238.20/6,702.87
  6. Step 6: Final answer
    x = 7,660.03

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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.