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Finding the Fourth Proportional to 11,657.74, 17,501.86 and 6,922.54

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Solution

The fourth proportional to 11,657.74, 17,501.86 and 6,922.54 is: 10,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.74 : 17,501.86 = 6,922.54 : x
  2. Step 2: Convert to fraction form
    11,657.74/17,501.86 = 6,922.54/x
  3. Step 3: Cross multiply
    11,657.74x = 17,501.86 × 6,922.54
  4. Step 4: Simplify right side
    11,657.74x = 121,157,325.92
  5. Step 5: Solve for x
    x = 121,157,325.92/11,657.74
  6. Step 6: Final answer
    x = 10,392.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.