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Finding the Fourth Proportional to 9,178.50, 13,768.02 and 2,253

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Solution

The fourth proportional to 9,178.50, 13,768.02 and 2,253 is: 3,379.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.50 : 13,768.02 = 2,253 : x
  2. Step 2: Convert to fraction form
    9,178.50/13,768.02 = 2,253/x
  3. Step 3: Cross multiply
    9,178.50x = 13,768.02 × 2,253
  4. Step 4: Simplify right side
    9,178.50x = 31,019,349.06
  5. Step 5: Solve for x
    x = 31,019,349.06/9,178.50
  6. Step 6: Final answer
    x = 3,379.57

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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.