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Finding the Fourth Proportional to 6,292.50, 8,683.68 and 3,498

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Solution

The fourth proportional to 6,292.50, 8,683.68 and 3,498 is: 4,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.50 : 8,683.68 = 3,498 : x
  2. Step 2: Convert to fraction form
    6,292.50/8,683.68 = 3,498/x
  3. Step 3: Cross multiply
    6,292.50x = 8,683.68 × 3,498
  4. Step 4: Simplify right side
    6,292.50x = 30,375,512.64
  5. Step 5: Solve for x
    x = 30,375,512.64/6,292.50
  6. Step 6: Final answer
    x = 4,827.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.