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Finding the Fourth Proportional to 9,263.70, 12,784.50 and 5,231.52

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Solution

The fourth proportional to 9,263.70, 12,784.50 and 5,231.52 is: 7,219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.70 : 12,784.50 = 5,231.52 : x
  2. Step 2: Convert to fraction form
    9,263.70/12,784.50 = 5,231.52/x
  3. Step 3: Cross multiply
    9,263.70x = 12,784.50 × 5,231.52
  4. Step 4: Simplify right side
    9,263.70x = 66,882,367.44
  5. Step 5: Solve for x
    x = 66,882,367.44/9,263.70
  6. Step 6: Final answer
    x = 7,219.83

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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.