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Finding the Fourth Proportional to 7,495.46, 11,243.19 and 1,948.34

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Solution

The fourth proportional to 7,495.46, 11,243.19 and 1,948.34 is: 2,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.46 : 11,243.19 = 1,948.34 : x
  2. Step 2: Convert to fraction form
    7,495.46/11,243.19 = 1,948.34/x
  3. Step 3: Cross multiply
    7,495.46x = 11,243.19 × 1,948.34
  4. Step 4: Simplify right side
    7,495.46x = 21,905,500.59
  5. Step 5: Solve for x
    x = 21,905,500.59/7,495.46
  6. Step 6: Final answer
    x = 2,922.50

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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.