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Finding the Fourth Proportional to 11,953.94, 16,496.20 and 6,648.64

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Solution

The fourth proportional to 11,953.94, 16,496.20 and 6,648.64 is: 9,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.94 : 16,496.20 = 6,648.64 : x
  2. Step 2: Convert to fraction form
    11,953.94/16,496.20 = 6,648.64/x
  3. Step 3: Cross multiply
    11,953.94x = 16,496.20 × 6,648.64
  4. Step 4: Simplify right side
    11,953.94x = 109,677,324.10
  5. Step 5: Solve for x
    x = 109,677,324.10/11,953.94
  6. Step 6: Final answer
    x = 9,174.99

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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.