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Finding the Fourth Proportional to 11,654.88, 16,081.08 and 9,774.06

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Solution

The fourth proportional to 11,654.88, 16,081.08 and 9,774.06 is: 13,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.88 : 16,081.08 = 9,774.06 : x
  2. Step 2: Convert to fraction form
    11,654.88/16,081.08 = 9,774.06/x
  3. Step 3: Cross multiply
    11,654.88x = 16,081.08 × 9,774.06
  4. Step 4: Simplify right side
    11,654.88x = 157,177,440.78
  5. Step 5: Solve for x
    x = 157,177,440.78/11,654.88
  6. Step 6: Final answer
    x = 13,485.98

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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.