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Finding the Fourth Proportional to 11,009.64, 16,482.06 and 6,836.28

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Solution

The fourth proportional to 11,009.64, 16,482.06 and 6,836.28 is: 10,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.64 : 16,482.06 = 6,836.28 : x
  2. Step 2: Convert to fraction form
    11,009.64/16,482.06 = 6,836.28/x
  3. Step 3: Cross multiply
    11,009.64x = 16,482.06 × 6,836.28
  4. Step 4: Simplify right side
    11,009.64x = 112,675,977.14
  5. Step 5: Solve for x
    x = 112,675,977.14/11,009.64
  6. Step 6: Final answer
    x = 10,234.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.