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Finding the Fourth Proportional to 6,702.68, 10,052.40 and 2,810

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Solution

The fourth proportional to 6,702.68, 10,052.40 and 2,810 is: 4,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.68 : 10,052.40 = 2,810 : x
  2. Step 2: Convert to fraction form
    6,702.68/10,052.40 = 2,810/x
  3. Step 3: Cross multiply
    6,702.68x = 10,052.40 × 2,810
  4. Step 4: Simplify right side
    6,702.68x = 28,247,244
  5. Step 5: Solve for x
    x = 28,247,244/6,702.68
  6. Step 6: Final answer
    x = 4,214.32

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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.