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Finding the Fourth Proportional to 9,891.76, 13,650.45 and 5,415.43

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Solution

The fourth proportional to 9,891.76, 13,650.45 and 5,415.43 is: 7,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.76 : 13,650.45 = 5,415.43 : x
  2. Step 2: Convert to fraction form
    9,891.76/13,650.45 = 5,415.43/x
  3. Step 3: Cross multiply
    9,891.76x = 13,650.45 × 5,415.43
  4. Step 4: Simplify right side
    9,891.76x = 73,923,056.44
  5. Step 5: Solve for x
    x = 73,923,056.44/9,891.76
  6. Step 6: Final answer
    x = 7,473.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.