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Finding the Fourth Proportional to 9,904.14, 13,659.84 and 8,416.98

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Solution

The fourth proportional to 9,904.14, 13,659.84 and 8,416.98 is: 11,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.14 : 13,659.84 = 8,416.98 : x
  2. Step 2: Convert to fraction form
    9,904.14/13,659.84 = 8,416.98/x
  3. Step 3: Cross multiply
    9,904.14x = 13,659.84 × 8,416.98
  4. Step 4: Simplify right side
    9,904.14x = 114,974,600.08
  5. Step 5: Solve for x
    x = 114,974,600.08/9,904.14
  6. Step 6: Final answer
    x = 11,608.74

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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.