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Finding the Fourth Proportional to 9,571.52, 14,357.26 and 2,646

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Solution

The fourth proportional to 9,571.52, 14,357.26 and 2,646 is: 3,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.52 : 14,357.26 = 2,646 : x
  2. Step 2: Convert to fraction form
    9,571.52/14,357.26 = 2,646/x
  3. Step 3: Cross multiply
    9,571.52x = 14,357.26 × 2,646
  4. Step 4: Simplify right side
    9,571.52x = 37,989,309.96
  5. Step 5: Solve for x
    x = 37,989,309.96/9,571.52
  6. Step 6: Final answer
    x = 3,968.99

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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.