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Finding the Fourth Proportional to 7,448.50, 11,172.75 and 1,901.64

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Solution

The fourth proportional to 7,448.50, 11,172.75 and 1,901.64 is: 2,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.50 : 11,172.75 = 1,901.64 : x
  2. Step 2: Convert to fraction form
    7,448.50/11,172.75 = 1,901.64/x
  3. Step 3: Cross multiply
    7,448.50x = 11,172.75 × 1,901.64
  4. Step 4: Simplify right side
    7,448.50x = 21,246,583.08
  5. Step 5: Solve for x
    x = 21,246,583.08/7,448.50
  6. Step 6: Final answer
    x = 2,852.47

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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.