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Finding the Fourth Proportional to 11,964.84, 16,506.02 and 11,005.31

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Solution

The fourth proportional to 11,964.84, 16,506.02 and 11,005.31 is: 15,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.84 : 16,506.02 = 11,005.31 : x
  2. Step 2: Convert to fraction form
    11,964.84/16,506.02 = 11,005.31/x
  3. Step 3: Cross multiply
    11,964.84x = 16,506.02 × 11,005.31
  4. Step 4: Simplify right side
    11,964.84x = 181,653,729.41
  5. Step 5: Solve for x
    x = 181,653,729.41/11,964.84
  6. Step 6: Final answer
    x = 15,182.29

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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.