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Finding the Fourth Proportional to 11,653.84, 17,471.66 and 7,946.88

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Solution

The fourth proportional to 11,653.84, 17,471.66 and 7,946.88 is: 11,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.84 : 17,471.66 = 7,946.88 : x
  2. Step 2: Convert to fraction form
    11,653.84/17,471.66 = 7,946.88/x
  3. Step 3: Cross multiply
    11,653.84x = 17,471.66 × 7,946.88
  4. Step 4: Simplify right side
    11,653.84x = 138,845,185.42
  5. Step 5: Solve for x
    x = 138,845,185.42/11,653.84
  6. Step 6: Final answer
    x = 11,914.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.