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Finding the Fourth Proportional to 9,224.07, 13,840.15 and 4,840.50

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Solution

The fourth proportional to 9,224.07, 13,840.15 and 4,840.50 is: 7,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.07 : 13,840.15 = 4,840.50 : x
  2. Step 2: Convert to fraction form
    9,224.07/13,840.15 = 4,840.50/x
  3. Step 3: Cross multiply
    9,224.07x = 13,840.15 × 4,840.50
  4. Step 4: Simplify right side
    9,224.07x = 66,993,217.10
  5. Step 5: Solve for x
    x = 66,993,217.10/9,224.07
  6. Step 6: Final answer
    x = 7,262.87

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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.