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Finding the Fourth Proportional to 6,541, 9,813.39 and 1,924

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Solution

The fourth proportional to 6,541, 9,813.39 and 1,924 is: 2,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541 : 9,813.39 = 1,924 : x
  2. Step 2: Convert to fraction form
    6,541/9,813.39 = 1,924/x
  3. Step 3: Cross multiply
    6,541x = 9,813.39 × 1,924
  4. Step 4: Simplify right side
    6,541x = 18,880,962.36
  5. Step 5: Solve for x
    x = 18,880,962.36/6,541
  6. Step 6: Final answer
    x = 2,886.56

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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.