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Finding the Fourth Proportional to 11,311, 15,609.18 and 6,594.37

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Solution

The fourth proportional to 11,311, 15,609.18 and 6,594.37 is: 9,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311 : 15,609.18 = 6,594.37 : x
  2. Step 2: Convert to fraction form
    11,311/15,609.18 = 6,594.37/x
  3. Step 3: Cross multiply
    11,311x = 15,609.18 × 6,594.37
  4. Step 4: Simplify right side
    11,311x = 102,932,708.32
  5. Step 5: Solve for x
    x = 102,932,708.32/11,311
  6. Step 6: Final answer
    x = 9,100.23

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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.