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Finding the Fourth Proportional to 6,571.59, 9,857.70 and 1,641.27

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Solution

The fourth proportional to 6,571.59, 9,857.70 and 1,641.27 is: 2,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.59 : 9,857.70 = 1,641.27 : x
  2. Step 2: Convert to fraction form
    6,571.59/9,857.70 = 1,641.27/x
  3. Step 3: Cross multiply
    6,571.59x = 9,857.70 × 1,641.27
  4. Step 4: Simplify right side
    6,571.59x = 16,179,147.28
  5. Step 5: Solve for x
    x = 16,179,147.28/6,571.59
  6. Step 6: Final answer
    x = 2,461.98

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1.5x scale

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.