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Finding the Fourth Proportional to 23,532.89, 35,303.66 and 7,738.80

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Solution

The fourth proportional to 23,532.89, 35,303.66 and 7,738.80 is: 11,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.89 : 35,303.66 = 7,738.80 : x
  2. Step 2: Convert to fraction form
    23,532.89/35,303.66 = 7,738.80/x
  3. Step 3: Cross multiply
    23,532.89x = 35,303.66 × 7,738.80
  4. Step 4: Simplify right side
    23,532.89x = 273,207,925.31
  5. Step 5: Solve for x
    x = 273,207,925.31/23,532.89
  6. Step 6: Final answer
    x = 11,609.62

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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.