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Finding the Fourth Proportional to 9,512.64, 14,274.90 and 6,844.50

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Solution

The fourth proportional to 9,512.64, 14,274.90 and 6,844.50 is: 10,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.64 : 14,274.90 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    9,512.64/14,274.90 = 6,844.50/x
  3. Step 3: Cross multiply
    9,512.64x = 14,274.90 × 6,844.50
  4. Step 4: Simplify right side
    9,512.64x = 97,704,553.05
  5. Step 5: Solve for x
    x = 97,704,553.05/9,512.64
  6. Step 6: Final answer
    x = 10,271.02

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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.