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Finding the Fourth Proportional to 6,844.00, 10,264.97 and 1,913.00

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Solution

The fourth proportional to 6,844.00, 10,264.97 and 1,913.00 is: 2,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.00 : 10,264.97 = 1,913.00 : x
  2. Step 2: Convert to fraction form
    6,844.00/10,264.97 = 1,913.00/x
  3. Step 3: Cross multiply
    6,844.00x = 10,264.97 × 1,913.00
  4. Step 4: Simplify right side
    6,844.00x = 19,636,881.86
  5. Step 5: Solve for x
    x = 19,636,881.86/6,844.00
  6. Step 6: Final answer
    x = 2,869.21

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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.