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Finding the Fourth Proportional to 9,492.14, 14,238.84 and 2,919.44

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Solution

The fourth proportional to 9,492.14, 14,238.84 and 2,919.44 is: 4,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.14 : 14,238.84 = 2,919.44 : x
  2. Step 2: Convert to fraction form
    9,492.14/14,238.84 = 2,919.44/x
  3. Step 3: Cross multiply
    9,492.14x = 14,238.84 × 2,919.44
  4. Step 4: Simplify right side
    9,492.14x = 41,569,439.05
  5. Step 5: Solve for x
    x = 41,569,439.05/9,492.14
  6. Step 6: Final answer
    x = 4,379.35

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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.