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Finding the Fourth Proportional to 12,370.50, 17,074.02 and 9,676.38

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Solution

The fourth proportional to 12,370.50, 17,074.02 and 9,676.38 is: 13,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.50 : 17,074.02 = 9,676.38 : x
  2. Step 2: Convert to fraction form
    12,370.50/17,074.02 = 9,676.38/x
  3. Step 3: Cross multiply
    12,370.50x = 17,074.02 × 9,676.38
  4. Step 4: Simplify right side
    12,370.50x = 165,214,705.65
  5. Step 5: Solve for x
    x = 165,214,705.65/12,370.50
  6. Step 6: Final answer
    x = 13,355.54

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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.