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Finding the Fourth Proportional to 6,862.66, 9,464.79 and 5,964.91

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Solution

The fourth proportional to 6,862.66, 9,464.79 and 5,964.91 is: 8,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.66 : 9,464.79 = 5,964.91 : x
  2. Step 2: Convert to fraction form
    6,862.66/9,464.79 = 5,964.91/x
  3. Step 3: Cross multiply
    6,862.66x = 9,464.79 × 5,964.91
  4. Step 4: Simplify right side
    6,862.66x = 56,456,620.52
  5. Step 5: Solve for x
    x = 56,456,620.52/6,862.66
  6. Step 6: Final answer
    x = 8,226.64

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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.