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Finding the Fourth Proportional to 6,494.58, 8,959.41 and 4,632.66

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Solution

The fourth proportional to 6,494.58, 8,959.41 and 4,632.66 is: 6,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.58 : 8,959.41 = 4,632.66 : x
  2. Step 2: Convert to fraction form
    6,494.58/8,959.41 = 4,632.66/x
  3. Step 3: Cross multiply
    6,494.58x = 8,959.41 × 4,632.66
  4. Step 4: Simplify right side
    6,494.58x = 41,505,900.33
  5. Step 5: Solve for x
    x = 41,505,900.33/6,494.58
  6. Step 6: Final answer
    x = 6,390.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.