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Finding the Fourth Proportional to 6,389.97, 9,571.10 and 3,096.16

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Solution

The fourth proportional to 6,389.97, 9,571.10 and 3,096.16 is: 4,637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.97 : 9,571.10 = 3,096.16 : x
  2. Step 2: Convert to fraction form
    6,389.97/9,571.10 = 3,096.16/x
  3. Step 3: Cross multiply
    6,389.97x = 9,571.10 × 3,096.16
  4. Step 4: Simplify right side
    6,389.97x = 29,633,625.31
  5. Step 5: Solve for x
    x = 29,633,625.31/6,389.97
  6. Step 6: Final answer
    x = 4,637.52

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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.