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Finding the Fourth Proportional to 23,857.76, 35,787 and 8,275.88

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Solution

The fourth proportional to 23,857.76, 35,787 and 8,275.88 is: 12,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.76 : 35,787 = 8,275.88 : x
  2. Step 2: Convert to fraction form
    23,857.76/35,787 = 8,275.88/x
  3. Step 3: Cross multiply
    23,857.76x = 35,787 × 8,275.88
  4. Step 4: Simplify right side
    23,857.76x = 296,168,917.56
  5. Step 5: Solve for x
    x = 296,168,917.56/23,857.76
  6. Step 6: Final answer
    x = 12,413.94

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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.