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Finding the Fourth Proportional to 11,597.97, 16,004.95 and 6,292.68

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Solution

The fourth proportional to 11,597.97, 16,004.95 and 6,292.68 is: 8,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.97 : 16,004.95 = 6,292.68 : x
  2. Step 2: Convert to fraction form
    11,597.97/16,004.95 = 6,292.68/x
  3. Step 3: Cross multiply
    11,597.97x = 16,004.95 × 6,292.68
  4. Step 4: Simplify right side
    11,597.97x = 100,714,028.77
  5. Step 5: Solve for x
    x = 100,714,028.77/11,597.97
  6. Step 6: Final answer
    x = 8,683.76

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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.