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Finding the Fourth Proportional to 13,696.58, 18,904.34 and 8,908.20

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Solution

The fourth proportional to 13,696.58, 18,904.34 and 8,908.20 is: 12,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.58 : 18,904.34 = 8,908.20 : x
  2. Step 2: Convert to fraction form
    13,696.58/18,904.34 = 8,908.20/x
  3. Step 3: Cross multiply
    13,696.58x = 18,904.34 × 8,908.20
  4. Step 4: Simplify right side
    13,696.58x = 168,403,597.05
  5. Step 5: Solve for x
    x = 168,403,597.05/13,696.58
  6. Step 6: Final answer
    x = 12,295.30

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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.