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Finding the Fourth Proportional to 6,466.95, 9,687.60 and 5,073.75

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Solution

The fourth proportional to 6,466.95, 9,687.60 and 5,073.75 is: 7,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.95 : 9,687.60 = 5,073.75 : x
  2. Step 2: Convert to fraction form
    6,466.95/9,687.60 = 5,073.75/x
  3. Step 3: Cross multiply
    6,466.95x = 9,687.60 × 5,073.75
  4. Step 4: Simplify right side
    6,466.95x = 49,152,460.50
  5. Step 5: Solve for x
    x = 49,152,460.50/6,466.95
  6. Step 6: Final answer
    x = 7,600.56

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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.