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Finding the Fourth Proportional to 6,283.91, 9,426 and 1,901.36

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Solution

The fourth proportional to 6,283.91, 9,426 and 1,901.36 is: 2,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.91 : 9,426 = 1,901.36 : x
  2. Step 2: Convert to fraction form
    6,283.91/9,426 = 1,901.36/x
  3. Step 3: Cross multiply
    6,283.91x = 9,426 × 1,901.36
  4. Step 4: Simplify right side
    6,283.91x = 17,922,219.36
  5. Step 5: Solve for x
    x = 17,922,219.36/6,283.91
  6. Step 6: Final answer
    x = 2,852.08

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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.