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Finding the Fourth Proportional to 6,272.94, 9,410.76 and 1,890.06

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Solution

The fourth proportional to 6,272.94, 9,410.76 and 1,890.06 is: 2,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.94 : 9,410.76 = 1,890.06 : x
  2. Step 2: Convert to fraction form
    6,272.94/9,410.76 = 1,890.06/x
  3. Step 3: Cross multiply
    6,272.94x = 9,410.76 × 1,890.06
  4. Step 4: Simplify right side
    6,272.94x = 17,786,901.05
  5. Step 5: Solve for x
    x = 17,786,901.05/6,272.94
  6. Step 6: Final answer
    x = 2,835.50

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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.