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Finding the Fourth Proportional to 11,600.51, 16,007.51 and 6,883.88

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Solution

The fourth proportional to 11,600.51, 16,007.51 and 6,883.88 is: 9,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.51 : 16,007.51 = 6,883.88 : x
  2. Step 2: Convert to fraction form
    11,600.51/16,007.51 = 6,883.88/x
  3. Step 3: Cross multiply
    11,600.51x = 16,007.51 × 6,883.88
  4. Step 4: Simplify right side
    11,600.51x = 110,193,743.52
  5. Step 5: Solve for x
    x = 110,193,743.52/11,600.51
  6. Step 6: Final answer
    x = 9,499.04

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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.