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Finding the Fourth Proportional to 23,378.70, 35,073 and 7,584.60

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Solution

The fourth proportional to 23,378.70, 35,073 and 7,584.60 is: 11,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.70 : 35,073 = 7,584.60 : x
  2. Step 2: Convert to fraction form
    23,378.70/35,073 = 7,584.60/x
  3. Step 3: Cross multiply
    23,378.70x = 35,073 × 7,584.60
  4. Step 4: Simplify right side
    23,378.70x = 266,014,675.80
  5. Step 5: Solve for x
    x = 266,014,675.80/23,378.70
  6. Step 6: Final answer
    x = 11,378.51

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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.