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Finding the Fourth Proportional to 7,673.67, 11,509.63 and 2,408.47

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Solution

The fourth proportional to 7,673.67, 11,509.63 and 2,408.47 is: 3,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.67 : 11,509.63 = 2,408.47 : x
  2. Step 2: Convert to fraction form
    7,673.67/11,509.63 = 2,408.47/x
  3. Step 3: Cross multiply
    7,673.67x = 11,509.63 × 2,408.47
  4. Step 4: Simplify right side
    7,673.67x = 27,720,563.77
  5. Step 5: Solve for x
    x = 27,720,563.77/7,673.67
  6. Step 6: Final answer
    x = 3,612.43

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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.