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Finding the Fourth Proportional to 4,786.91, 7,176.90 and 1,498.22

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Solution

The fourth proportional to 4,786.91, 7,176.90 and 1,498.22 is: 2,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.91 : 7,176.90 = 1,498.22 : x
  2. Step 2: Convert to fraction form
    4,786.91/7,176.90 = 1,498.22/x
  3. Step 3: Cross multiply
    4,786.91x = 7,176.90 × 1,498.22
  4. Step 4: Simplify right side
    4,786.91x = 10,752,575.12
  5. Step 5: Solve for x
    x = 10,752,575.12/4,786.91
  6. Step 6: Final answer
    x = 2,246.25

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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.