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Finding the Fourth Proportional to 6,571.76, 9,857.58 and 1,641.36

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Solution

The fourth proportional to 6,571.76, 9,857.58 and 1,641.36 is: 2,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.76 : 9,857.58 = 1,641.36 : x
  2. Step 2: Convert to fraction form
    6,571.76/9,857.58 = 1,641.36/x
  3. Step 3: Cross multiply
    6,571.76x = 9,857.58 × 1,641.36
  4. Step 4: Simplify right side
    6,571.76x = 16,179,837.51
  5. Step 5: Solve for x
    x = 16,179,837.51/6,571.76
  6. Step 6: Final answer
    x = 2,462.03

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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.