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Finding the Fourth Proportional to 23,859.76, 35,790 and 8,277.88

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Solution

The fourth proportional to 23,859.76, 35,790 and 8,277.88 is: 12,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,859.76 : 35,790 = 8,277.88 : x
  2. Step 2: Convert to fraction form
    23,859.76/35,790 = 8,277.88/x
  3. Step 3: Cross multiply
    23,859.76x = 35,790 × 8,277.88
  4. Step 4: Simplify right side
    23,859.76x = 296,265,325.20
  5. Step 5: Solve for x
    x = 296,265,325.20/23,859.76
  6. Step 6: Final answer
    x = 12,416.94

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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.