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Finding the Fourth Proportional to 9,494.50, 14,241.32 and 2,920.40

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Solution

The fourth proportional to 9,494.50, 14,241.32 and 2,920.40 is: 4,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.50 : 14,241.32 = 2,920.40 : x
  2. Step 2: Convert to fraction form
    9,494.50/14,241.32 = 2,920.40/x
  3. Step 3: Cross multiply
    9,494.50x = 14,241.32 × 2,920.40
  4. Step 4: Simplify right side
    9,494.50x = 41,590,350.93
  5. Step 5: Solve for x
    x = 41,590,350.93/9,494.50
  6. Step 6: Final answer
    x = 4,380.47

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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.