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Finding the Fourth Proportional to 7,310.46, 10,975.10 and 6,277.10

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Solution

The fourth proportional to 7,310.46, 10,975.10 and 6,277.10 is: 9,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.46 : 10,975.10 = 6,277.10 : x
  2. Step 2: Convert to fraction form
    7,310.46/10,975.10 = 6,277.10/x
  3. Step 3: Cross multiply
    7,310.46x = 10,975.10 × 6,277.10
  4. Step 4: Simplify right side
    7,310.46x = 68,891,713.95
  5. Step 5: Solve for x
    x = 68,891,713.95/7,310.46
  6. Step 6: Final answer
    x = 9,423.72

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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.