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Finding the Fourth Proportional to 7,085, 10,627.50 and 2,468.04

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Solution

The fourth proportional to 7,085, 10,627.50 and 2,468.04 is: 3,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085 : 10,627.50 = 2,468.04 : x
  2. Step 2: Convert to fraction form
    7,085/10,627.50 = 2,468.04/x
  3. Step 3: Cross multiply
    7,085x = 10,627.50 × 2,468.04
  4. Step 4: Simplify right side
    7,085x = 26,229,095.10
  5. Step 5: Solve for x
    x = 26,229,095.10/7,085
  6. Step 6: Final answer
    x = 3,702.06

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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.