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Finding the Fourth Proportional to 11,884.60, 16,401.35 and 6,849.64

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Solution

The fourth proportional to 11,884.60, 16,401.35 and 6,849.64 is: 9,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.60 : 16,401.35 = 6,849.64 : x
  2. Step 2: Convert to fraction form
    11,884.60/16,401.35 = 6,849.64/x
  3. Step 3: Cross multiply
    11,884.60x = 16,401.35 × 6,849.64
  4. Step 4: Simplify right side
    11,884.60x = 112,343,226.76
  5. Step 5: Solve for x
    x = 112,343,226.76/11,884.60
  6. Step 6: Final answer
    x = 9,452.84

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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.