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Finding the Fourth Proportional to 9,794.31, 14,672.33 and 7,823.97

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Solution

The fourth proportional to 9,794.31, 14,672.33 and 7,823.97 is: 11,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.31 : 14,672.33 = 7,823.97 : x
  2. Step 2: Convert to fraction form
    9,794.31/14,672.33 = 7,823.97/x
  3. Step 3: Cross multiply
    9,794.31x = 14,672.33 × 7,823.97
  4. Step 4: Simplify right side
    9,794.31x = 114,795,830.63
  5. Step 5: Solve for x
    x = 114,795,830.63/9,794.31
  6. Step 6: Final answer
    x = 11,720.67

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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.