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Finding the Fourth Proportional to 6,271.25, 9,407.08 and 2,323.50

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Solution

The fourth proportional to 6,271.25, 9,407.08 and 2,323.50 is: 3,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.25 : 9,407.08 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    6,271.25/9,407.08 = 2,323.50/x
  3. Step 3: Cross multiply
    6,271.25x = 9,407.08 × 2,323.50
  4. Step 4: Simplify right side
    6,271.25x = 21,857,321.05
  5. Step 5: Solve for x
    x = 21,857,321.05/6,271.25
  6. Step 6: Final answer
    x = 3,485.32

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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.