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Finding the Fourth Proportional to 9,608.41, 14,398.03 and 7,131.63

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Solution

The fourth proportional to 9,608.41, 14,398.03 and 7,131.63 is: 10,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.41 : 14,398.03 = 7,131.63 : x
  2. Step 2: Convert to fraction form
    9,608.41/14,398.03 = 7,131.63/x
  3. Step 3: Cross multiply
    9,608.41x = 14,398.03 × 7,131.63
  4. Step 4: Simplify right side
    9,608.41x = 102,681,422.69
  5. Step 5: Solve for x
    x = 102,681,422.69/9,608.41
  6. Step 6: Final answer
    x = 10,686.62

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1.5x scale

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.