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Finding the Fourth Proportional to 7,408.40, 11,119.80 and 4,492.40

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Solution

The fourth proportional to 7,408.40, 11,119.80 and 4,492.40 is: 6,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.40 : 11,119.80 = 4,492.40 : x
  2. Step 2: Convert to fraction form
    7,408.40/11,119.80 = 4,492.40/x
  3. Step 3: Cross multiply
    7,408.40x = 11,119.80 × 4,492.40
  4. Step 4: Simplify right side
    7,408.40x = 49,954,589.52
  5. Step 5: Solve for x
    x = 49,954,589.52/7,408.40
  6. Step 6: Final answer
    x = 6,742.97

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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.