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Finding the Fourth Proportional to 11,483.64, 17,181.98 and 6,806.16

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Solution

The fourth proportional to 11,483.64, 17,181.98 and 6,806.16 is: 10,183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.64 : 17,181.98 = 6,806.16 : x
  2. Step 2: Convert to fraction form
    11,483.64/17,181.98 = 6,806.16/x
  3. Step 3: Cross multiply
    11,483.64x = 17,181.98 × 6,806.16
  4. Step 4: Simplify right side
    11,483.64x = 116,943,305.00
  5. Step 5: Solve for x
    x = 116,943,305.00/11,483.64
  6. Step 6: Final answer
    x = 10,183.47

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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.