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Finding the Fourth Proportional to 11,899.64, 17,847.63 and 4,106.63

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Solution

The fourth proportional to 11,899.64, 17,847.63 and 4,106.63 is: 6,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.64 : 17,847.63 = 4,106.63 : x
  2. Step 2: Convert to fraction form
    11,899.64/17,847.63 = 4,106.63/x
  3. Step 3: Cross multiply
    11,899.64x = 17,847.63 × 4,106.63
  4. Step 4: Simplify right side
    11,899.64x = 73,293,523.55
  5. Step 5: Solve for x
    x = 73,293,523.55/11,899.64
  6. Step 6: Final answer
    x = 6,159.31

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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.