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Finding the Fourth Proportional to 23,645.84, 35,472.60 and 7,226

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Solution

The fourth proportional to 23,645.84, 35,472.60 and 7,226 is: 10,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.84 : 35,472.60 = 7,226 : x
  2. Step 2: Convert to fraction form
    23,645.84/35,472.60 = 7,226/x
  3. Step 3: Cross multiply
    23,645.84x = 35,472.60 × 7,226
  4. Step 4: Simplify right side
    23,645.84x = 256,325,007.60
  5. Step 5: Solve for x
    x = 256,325,007.60/23,645.84
  6. Step 6: Final answer
    x = 10,840.17

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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.