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Finding the Fourth Proportional to 11,652.45, 16,080.49 and 6,935.82

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Solution

The fourth proportional to 11,652.45, 16,080.49 and 6,935.82 is: 9,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.45 : 16,080.49 = 6,935.82 : x
  2. Step 2: Convert to fraction form
    11,652.45/16,080.49 = 6,935.82/x
  3. Step 3: Cross multiply
    11,652.45x = 16,080.49 × 6,935.82
  4. Step 4: Simplify right side
    11,652.45x = 111,531,384.15
  5. Step 5: Solve for x
    x = 111,531,384.15/11,652.45
  6. Step 6: Final answer
    x = 9,571.50

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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.