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Finding the Fourth Proportional to 6,702.26, 10,055.08 and 3,931.25

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Solution

The fourth proportional to 6,702.26, 10,055.08 and 3,931.25 is: 5,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.26 : 10,055.08 = 3,931.25 : x
  2. Step 2: Convert to fraction form
    6,702.26/10,055.08 = 3,931.25/x
  3. Step 3: Cross multiply
    6,702.26x = 10,055.08 × 3,931.25
  4. Step 4: Simplify right side
    6,702.26x = 39,529,033.25
  5. Step 5: Solve for x
    x = 39,529,033.25/6,702.26
  6. Step 6: Final answer
    x = 5,897.87

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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.