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Finding the Fourth Proportional to 6,700.87, 9,250.38 and 4,466.47

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Solution

The fourth proportional to 6,700.87, 9,250.38 and 4,466.47 is: 6,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.87 : 9,250.38 = 4,466.47 : x
  2. Step 2: Convert to fraction form
    6,700.87/9,250.38 = 4,466.47/x
  3. Step 3: Cross multiply
    6,700.87x = 9,250.38 × 4,466.47
  4. Step 4: Simplify right side
    6,700.87x = 41,316,522.43
  5. Step 5: Solve for x
    x = 41,316,522.43/6,700.87
  6. Step 6: Final answer
    x = 6,165.84

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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.