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Finding the Fourth Proportional to 11,793.82, 16,275.36 and 6,416.23

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Solution

The fourth proportional to 11,793.82, 16,275.36 and 6,416.23 is: 8,854.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.82 : 16,275.36 = 6,416.23 : x
  2. Step 2: Convert to fraction form
    11,793.82/16,275.36 = 6,416.23/x
  3. Step 3: Cross multiply
    11,793.82x = 16,275.36 × 6,416.23
  4. Step 4: Simplify right side
    11,793.82x = 104,426,453.09
  5. Step 5: Solve for x
    x = 104,426,453.09/11,793.82
  6. Step 6: Final answer
    x = 8,854.34

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Double scale
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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.