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Finding the Fourth Proportional to 11,964.79, 16,508.73 and 7,431.16

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Solution

The fourth proportional to 11,964.79, 16,508.73 and 7,431.16 is: 10,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.79 : 16,508.73 = 7,431.16 : x
  2. Step 2: Convert to fraction form
    11,964.79/16,508.73 = 7,431.16/x
  3. Step 3: Cross multiply
    11,964.79x = 16,508.73 × 7,431.16
  4. Step 4: Simplify right side
    11,964.79x = 122,679,014.03
  5. Step 5: Solve for x
    x = 122,679,014.03/11,964.79
  6. Step 6: Final answer
    x = 10,253.34

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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.