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Finding the Fourth Proportional to 23,863.50, 35,795.72 and 7,223.48

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Solution

The fourth proportional to 23,863.50, 35,795.72 and 7,223.48 is: 10,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863.50 : 35,795.72 = 7,223.48 : x
  2. Step 2: Convert to fraction form
    23,863.50/35,795.72 = 7,223.48/x
  3. Step 3: Cross multiply
    23,863.50x = 35,795.72 × 7,223.48
  4. Step 4: Simplify right side
    23,863.50x = 258,569,667.51
  5. Step 5: Solve for x
    x = 258,569,667.51/23,863.50
  6. Step 6: Final answer
    x = 10,835.36

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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.