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Finding the Fourth Proportional to 9,752.88, 14,629.92 and 3,179.76

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Solution

The fourth proportional to 9,752.88, 14,629.92 and 3,179.76 is: 4,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.88 : 14,629.92 = 3,179.76 : x
  2. Step 2: Convert to fraction form
    9,752.88/14,629.92 = 3,179.76/x
  3. Step 3: Cross multiply
    9,752.88x = 14,629.92 × 3,179.76
  4. Step 4: Simplify right side
    9,752.88x = 46,519,634.42
  5. Step 5: Solve for x
    x = 46,519,634.42/9,752.88
  6. Step 6: Final answer
    x = 4,769.84

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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.