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Finding the Fourth Proportional to 6,702.65, 10,054.09 and 2,320.25

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Solution

The fourth proportional to 6,702.65, 10,054.09 and 2,320.25 is: 3,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.65 : 10,054.09 = 2,320.25 : x
  2. Step 2: Convert to fraction form
    6,702.65/10,054.09 = 2,320.25/x
  3. Step 3: Cross multiply
    6,702.65x = 10,054.09 × 2,320.25
  4. Step 4: Simplify right side
    6,702.65x = 23,327,954.95
  5. Step 5: Solve for x
    x = 23,327,954.95/6,702.65
  6. Step 6: Final answer
    x = 3,480.41

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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.