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Finding the Fourth Proportional to 7,642.80, 11,467.80 and 5,698.80

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Solution

The fourth proportional to 7,642.80, 11,467.80 and 5,698.80 is: 8,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.80 : 11,467.80 = 5,698.80 : x
  2. Step 2: Convert to fraction form
    7,642.80/11,467.80 = 5,698.80/x
  3. Step 3: Cross multiply
    7,642.80x = 11,467.80 × 5,698.80
  4. Step 4: Simplify right side
    7,642.80x = 65,352,698.64
  5. Step 5: Solve for x
    x = 65,352,698.64/7,642.80
  6. Step 6: Final answer
    x = 8,550.88

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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.