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Finding the Fourth Proportional to 6,566.62, 9,850.74 and 2,670.52

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Solution

The fourth proportional to 6,566.62, 9,850.74 and 2,670.52 is: 4,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.62 : 9,850.74 = 2,670.52 : x
  2. Step 2: Convert to fraction form
    6,566.62/9,850.74 = 2,670.52/x
  3. Step 3: Cross multiply
    6,566.62x = 9,850.74 × 2,670.52
  4. Step 4: Simplify right side
    6,566.62x = 26,306,598.18
  5. Step 5: Solve for x
    x = 26,306,598.18/6,566.62
  6. Step 6: Final answer
    x = 4,006.11

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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.