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Finding the Fourth Proportional to 6,566.46, 9,855.36 and 2,671.98

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Solution

The fourth proportional to 6,566.46, 9,855.36 and 2,671.98 is: 4,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.46 : 9,855.36 = 2,671.98 : x
  2. Step 2: Convert to fraction form
    6,566.46/9,855.36 = 2,671.98/x
  3. Step 3: Cross multiply
    6,566.46x = 9,855.36 × 2,671.98
  4. Step 4: Simplify right side
    6,566.46x = 26,333,324.81
  5. Step 5: Solve for x
    x = 26,333,324.81/6,566.46
  6. Step 6: Final answer
    x = 4,010.28

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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.