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Finding the Fourth Proportional to 23,532.75, 35,303.48 and 7,738.65

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Solution

The fourth proportional to 23,532.75, 35,303.48 and 7,738.65 is: 11,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.75 : 35,303.48 = 7,738.65 : x
  2. Step 2: Convert to fraction form
    23,532.75/35,303.48 = 7,738.65/x
  3. Step 3: Cross multiply
    23,532.75x = 35,303.48 × 7,738.65
  4. Step 4: Simplify right side
    23,532.75x = 273,201,236.81
  5. Step 5: Solve for x
    x = 273,201,236.81/23,532.75
  6. Step 6: Final answer
    x = 11,609.41

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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.