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Finding the Fourth Proportional to 23,471.42, 35,200.98 and 8,684.60

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Solution

The fourth proportional to 23,471.42, 35,200.98 and 8,684.60 is: 13,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.42 : 35,200.98 = 8,684.60 : x
  2. Step 2: Convert to fraction form
    23,471.42/35,200.98 = 8,684.60/x
  3. Step 3: Cross multiply
    23,471.42x = 35,200.98 × 8,684.60
  4. Step 4: Simplify right side
    23,471.42x = 305,706,430.91
  5. Step 5: Solve for x
    x = 305,706,430.91/23,471.42
  6. Step 6: Final answer
    x = 13,024.62

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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.