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Finding the Fourth Proportional to 6,294, 8,685.72 and 3,500.04

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Solution

The fourth proportional to 6,294, 8,685.72 and 3,500.04 is: 4,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294 : 8,685.72 = 3,500.04 : x
  2. Step 2: Convert to fraction form
    6,294/8,685.72 = 3,500.04/x
  3. Step 3: Cross multiply
    6,294x = 8,685.72 × 3,500.04
  4. Step 4: Simplify right side
    6,294x = 30,400,367.43
  5. Step 5: Solve for x
    x = 30,400,367.43/6,294
  6. Step 6: Final answer
    x = 4,830.06

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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.