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Finding the Fourth Proportional to 9,745.88, 14,609.52 and 3,167.48

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Solution

The fourth proportional to 9,745.88, 14,609.52 and 3,167.48 is: 4,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.88 : 14,609.52 = 3,167.48 : x
  2. Step 2: Convert to fraction form
    9,745.88/14,609.52 = 3,167.48/x
  3. Step 3: Cross multiply
    9,745.88x = 14,609.52 × 3,167.48
  4. Step 4: Simplify right side
    9,745.88x = 46,275,362.41
  5. Step 5: Solve for x
    x = 46,275,362.41/9,745.88
  6. Step 6: Final answer
    x = 4,748.20

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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.