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Finding the Fourth Proportional to 9,608.12, 14,410.56 and 2,681

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Solution

The fourth proportional to 9,608.12, 14,410.56 and 2,681 is: 4,021.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.12 : 14,410.56 = 2,681 : x
  2. Step 2: Convert to fraction form
    9,608.12/14,410.56 = 2,681/x
  3. Step 3: Cross multiply
    9,608.12x = 14,410.56 × 2,681
  4. Step 4: Simplify right side
    9,608.12x = 38,634,711.36
  5. Step 5: Solve for x
    x = 38,634,711.36/9,608.12
  6. Step 6: Final answer
    x = 4,021.05

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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.