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Finding the Fourth Proportional to 9,949.50, 14,924.25 and 3,793.50

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Solution

The fourth proportional to 9,949.50, 14,924.25 and 3,793.50 is: 5,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.50 : 14,924.25 = 3,793.50 : x
  2. Step 2: Convert to fraction form
    9,949.50/14,924.25 = 3,793.50/x
  3. Step 3: Cross multiply
    9,949.50x = 14,924.25 × 3,793.50
  4. Step 4: Simplify right side
    9,949.50x = 56,615,142.38
  5. Step 5: Solve for x
    x = 56,615,142.38/9,949.50
  6. Step 6: Final answer
    x = 5,690.25

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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.