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Finding the Fourth Proportional to 11,573.77, 15,971.65 and 6,792.86

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Solution

The fourth proportional to 11,573.77, 15,971.65 and 6,792.86 is: 9,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.77 : 15,971.65 = 6,792.86 : x
  2. Step 2: Convert to fraction form
    11,573.77/15,971.65 = 6,792.86/x
  3. Step 3: Cross multiply
    11,573.77x = 15,971.65 × 6,792.86
  4. Step 4: Simplify right side
    11,573.77x = 108,493,205.37
  5. Step 5: Solve for x
    x = 108,493,205.37/11,573.77
  6. Step 6: Final answer
    x = 9,374.06

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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.