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Finding the Fourth Proportional to 23,971.70, 35,959.22 and 7,330.46

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Solution

The fourth proportional to 23,971.70, 35,959.22 and 7,330.46 is: 10,996.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.70 : 35,959.22 = 7,330.46 : x
  2. Step 2: Convert to fraction form
    23,971.70/35,959.22 = 7,330.46/x
  3. Step 3: Cross multiply
    23,971.70x = 35,959.22 × 7,330.46
  4. Step 4: Simplify right side
    23,971.70x = 263,597,407.39
  5. Step 5: Solve for x
    x = 263,597,407.39/23,971.70
  6. Step 6: Final answer
    x = 10,996.19

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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.