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Finding the Fourth Proportional to 11,959.80, 16,502.64 and 6,654.48

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Solution

The fourth proportional to 11,959.80, 16,502.64 and 6,654.48 is: 9,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.80 : 16,502.64 = 6,654.48 : x
  2. Step 2: Convert to fraction form
    11,959.80/16,502.64 = 6,654.48/x
  3. Step 3: Cross multiply
    11,959.80x = 16,502.64 × 6,654.48
  4. Step 4: Simplify right side
    11,959.80x = 109,816,487.83
  5. Step 5: Solve for x
    x = 109,816,487.83/11,959.80
  6. Step 6: Final answer
    x = 9,182.13

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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.