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Finding the Fourth Proportional to 23,906.40, 35,870.16 and 8,335.20

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Solution

The fourth proportional to 23,906.40, 35,870.16 and 8,335.20 is: 12,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.40 : 35,870.16 = 8,335.20 : x
  2. Step 2: Convert to fraction form
    23,906.40/35,870.16 = 8,335.20/x
  3. Step 3: Cross multiply
    23,906.40x = 35,870.16 × 8,335.20
  4. Step 4: Simplify right side
    23,906.40x = 298,984,957.63
  5. Step 5: Solve for x
    x = 298,984,957.63/23,906.40
  6. Step 6: Final answer
    x = 12,506.48

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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.