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Finding the Fourth Proportional to 8,983, 13,476.68 and 2,827

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Solution

The fourth proportional to 8,983, 13,476.68 and 2,827 is: 4,241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983 : 13,476.68 = 2,827 : x
  2. Step 2: Convert to fraction form
    8,983/13,476.68 = 2,827/x
  3. Step 3: Cross multiply
    8,983x = 13,476.68 × 2,827
  4. Step 4: Simplify right side
    8,983x = 38,098,574.36
  5. Step 5: Solve for x
    x = 38,098,574.36/8,983
  6. Step 6: Final answer
    x = 4,241.19

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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.