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Finding the Fourth Proportional to 11,959.74, 16,505.76 and 6,923.90

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Solution

The fourth proportional to 11,959.74, 16,505.76 and 6,923.90 is: 9,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.74 : 16,505.76 = 6,923.90 : x
  2. Step 2: Convert to fraction form
    11,959.74/16,505.76 = 6,923.90/x
  3. Step 3: Cross multiply
    11,959.74x = 16,505.76 × 6,923.90
  4. Step 4: Simplify right side
    11,959.74x = 114,284,149.14
  5. Step 5: Solve for x
    x = 114,284,149.14/11,959.74
  6. Step 6: Final answer
    x = 9,555.74

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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.