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Finding the Fourth Proportional to 16,078.60, 24,109.80 and 9,506.80

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Solution

The fourth proportional to 16,078.60, 24,109.80 and 9,506.80 is: 14,255.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.60 : 24,109.80 = 9,506.80 : x
  2. Step 2: Convert to fraction form
    16,078.60/24,109.80 = 9,506.80/x
  3. Step 3: Cross multiply
    16,078.60x = 24,109.80 × 9,506.80
  4. Step 4: Simplify right side
    16,078.60x = 229,207,046.64
  5. Step 5: Solve for x
    x = 229,207,046.64/16,078.60
  6. Step 6: Final answer
    x = 14,255.41

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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.