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Finding the Fourth Proportional to 9,974.65, 14,960.36 and 4,709.65

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Solution

The fourth proportional to 9,974.65, 14,960.36 and 4,709.65 is: 7,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.65 : 14,960.36 = 4,709.65 : x
  2. Step 2: Convert to fraction form
    9,974.65/14,960.36 = 4,709.65/x
  3. Step 3: Cross multiply
    9,974.65x = 14,960.36 × 4,709.65
  4. Step 4: Simplify right side
    9,974.65x = 70,458,059.47
  5. Step 5: Solve for x
    x = 70,458,059.47/9,974.65
  6. Step 6: Final answer
    x = 7,063.71

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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.