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Finding the Fourth Proportional to 6,364.71, 9,548.33 and 1,981.98

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Solution

The fourth proportional to 6,364.71, 9,548.33 and 1,981.98 is: 2,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.71 : 9,548.33 = 1,981.98 : x
  2. Step 2: Convert to fraction form
    6,364.71/9,548.33 = 1,981.98/x
  3. Step 3: Cross multiply
    6,364.71x = 9,548.33 × 1,981.98
  4. Step 4: Simplify right side
    6,364.71x = 18,924,589.18
  5. Step 5: Solve for x
    x = 18,924,589.18/6,364.71
  6. Step 6: Final answer
    x = 2,973.36

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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.