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Finding the Fourth Proportional to 10,794.60, 16,199.10 and 6,114.60

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Solution

The fourth proportional to 10,794.60, 16,199.10 and 6,114.60 is: 9,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.60 : 16,199.10 = 6,114.60 : x
  2. Step 2: Convert to fraction form
    10,794.60/16,199.10 = 6,114.60/x
  3. Step 3: Cross multiply
    10,794.60x = 16,199.10 × 6,114.60
  4. Step 4: Simplify right side
    10,794.60x = 99,051,016.86
  5. Step 5: Solve for x
    x = 99,051,016.86/10,794.60
  6. Step 6: Final answer
    x = 9,175.98

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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.