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Finding the Fourth Proportional to 11,653.80, 16,081.02 and 6,937.44

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Solution

The fourth proportional to 11,653.80, 16,081.02 and 6,937.44 is: 9,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.80 : 16,081.02 = 6,937.44 : x
  2. Step 2: Convert to fraction form
    11,653.80/16,081.02 = 6,937.44/x
  3. Step 3: Cross multiply
    11,653.80x = 16,081.02 × 6,937.44
  4. Step 4: Simplify right side
    11,653.80x = 111,561,111.39
  5. Step 5: Solve for x
    x = 111,561,111.39/11,653.80
  6. Step 6: Final answer
    x = 9,572.94

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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.