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Finding the Fourth Proportional to 6,983.04, 9,633.36 and 4,463.92

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Solution

The fourth proportional to 6,983.04, 9,633.36 and 4,463.92 is: 6,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.04 : 9,633.36 = 4,463.92 : x
  2. Step 2: Convert to fraction form
    6,983.04/9,633.36 = 4,463.92/x
  3. Step 3: Cross multiply
    6,983.04x = 9,633.36 × 4,463.92
  4. Step 4: Simplify right side
    6,983.04x = 43,002,548.37
  5. Step 5: Solve for x
    x = 43,002,548.37/6,983.04
  6. Step 6: Final answer
    x = 6,158.14

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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.