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Finding the Fourth Proportional to 11,745.48, 16,207 and 6,708.63

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Solution

The fourth proportional to 11,745.48, 16,207 and 6,708.63 is: 9,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.48 : 16,207 = 6,708.63 : x
  2. Step 2: Convert to fraction form
    11,745.48/16,207 = 6,708.63/x
  3. Step 3: Cross multiply
    11,745.48x = 16,207 × 6,708.63
  4. Step 4: Simplify right side
    11,745.48x = 108,726,766.41
  5. Step 5: Solve for x
    x = 108,726,766.41/11,745.48
  6. Step 6: Final answer
    x = 9,256.90

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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.