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Finding the Fourth Proportional to 11,716.66, 16,168.98 and 6,411.46

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Solution

The fourth proportional to 11,716.66, 16,168.98 and 6,411.46 is: 8,847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.66 : 16,168.98 = 6,411.46 : x
  2. Step 2: Convert to fraction form
    11,716.66/16,168.98 = 6,411.46/x
  3. Step 3: Cross multiply
    11,716.66x = 16,168.98 × 6,411.46
  4. Step 4: Simplify right side
    11,716.66x = 103,666,768.51
  5. Step 5: Solve for x
    x = 103,666,768.51/11,716.66
  6. Step 6: Final answer
    x = 8,847.81

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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.