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Finding the Fourth Proportional to 23,897.41, 35,825.15 and 9,096.48

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Solution

The fourth proportional to 23,897.41, 35,825.15 and 9,096.48 is: 13,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.41 : 35,825.15 = 9,096.48 : x
  2. Step 2: Convert to fraction form
    23,897.41/35,825.15 = 9,096.48/x
  3. Step 3: Cross multiply
    23,897.41x = 35,825.15 × 9,096.48
  4. Step 4: Simplify right side
    23,897.41x = 325,882,783.21
  5. Step 5: Solve for x
    x = 325,882,783.21/23,897.41
  6. Step 6: Final answer
    x = 13,636.74

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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.