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Finding the Fourth Proportional to 6,427.50, 9,641.25 and 2,323.50

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Solution

The fourth proportional to 6,427.50, 9,641.25 and 2,323.50 is: 3,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.50 : 9,641.25 = 2,323.50 : x
  2. Step 2: Convert to fraction form
    6,427.50/9,641.25 = 2,323.50/x
  3. Step 3: Cross multiply
    6,427.50x = 9,641.25 × 2,323.50
  4. Step 4: Simplify right side
    6,427.50x = 22,401,444.38
  5. Step 5: Solve for x
    x = 22,401,444.38/6,427.50
  6. Step 6: Final answer
    x = 3,485.25

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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.