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Finding the Fourth Proportional to 9,571.68, 14,358.24 and 2,646

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Solution

The fourth proportional to 9,571.68, 14,358.24 and 2,646 is: 3,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.68 : 14,358.24 = 2,646 : x
  2. Step 2: Convert to fraction form
    9,571.68/14,358.24 = 2,646/x
  3. Step 3: Cross multiply
    9,571.68x = 14,358.24 × 2,646
  4. Step 4: Simplify right side
    9,571.68x = 37,991,903.04
  5. Step 5: Solve for x
    x = 37,991,903.04/9,571.68
  6. Step 6: Final answer
    x = 3,969.20

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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.