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Finding the Fourth Proportional to 23,971.56, 35,957.34 and 8,385.60

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Solution

The fourth proportional to 23,971.56, 35,957.34 and 8,385.60 is: 12,578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.56 : 35,957.34 = 8,385.60 : x
  2. Step 2: Convert to fraction form
    23,971.56/35,957.34 = 8,385.60/x
  3. Step 3: Cross multiply
    23,971.56x = 35,957.34 × 8,385.60
  4. Step 4: Simplify right side
    23,971.56x = 301,523,870.30
  5. Step 5: Solve for x
    x = 301,523,870.30/23,971.56
  6. Step 6: Final answer
    x = 12,578.40

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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.