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Finding the Fourth Proportional to 11,783.70, 16,273.98 and 8,023.68

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Solution

The fourth proportional to 11,783.70, 16,273.98 and 8,023.68 is: 11,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.70 : 16,273.98 = 8,023.68 : x
  2. Step 2: Convert to fraction form
    11,783.70/16,273.98 = 8,023.68/x
  3. Step 3: Cross multiply
    11,783.70x = 16,273.98 × 8,023.68
  4. Step 4: Simplify right side
    11,783.70x = 130,577,207.85
  5. Step 5: Solve for x
    x = 130,577,207.85/11,783.70
  6. Step 6: Final answer
    x = 11,081.17

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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.