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Finding the Fourth Proportional to 11,991.83, 16,549.94 and 6,957.59

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Solution

The fourth proportional to 11,991.83, 16,549.94 and 6,957.59 is: 9,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.83 : 16,549.94 = 6,957.59 : x
  2. Step 2: Convert to fraction form
    11,991.83/16,549.94 = 6,957.59/x
  3. Step 3: Cross multiply
    11,991.83x = 16,549.94 × 6,957.59
  4. Step 4: Simplify right side
    11,991.83x = 115,147,697.04
  5. Step 5: Solve for x
    x = 115,147,697.04/11,991.83
  6. Step 6: Final answer
    x = 9,602.18

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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.