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Finding the Fourth Proportional to 6,986.94, 9,644.24 and 4,475.82

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Solution

The fourth proportional to 6,986.94, 9,644.24 and 4,475.82 is: 6,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.94 : 9,644.24 = 4,475.82 : x
  2. Step 2: Convert to fraction form
    6,986.94/9,644.24 = 4,475.82/x
  3. Step 3: Cross multiply
    6,986.94x = 9,644.24 × 4,475.82
  4. Step 4: Simplify right side
    6,986.94x = 43,165,882.28
  5. Step 5: Solve for x
    x = 43,165,882.28/6,986.94
  6. Step 6: Final answer
    x = 6,178.08

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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.