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Finding the Fourth Proportional to 13,635.79, 18,815.72 and 7,894.24

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Solution

The fourth proportional to 13,635.79, 18,815.72 and 7,894.24 is: 10,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.79 : 18,815.72 = 7,894.24 : x
  2. Step 2: Convert to fraction form
    13,635.79/18,815.72 = 7,894.24/x
  3. Step 3: Cross multiply
    13,635.79x = 18,815.72 × 7,894.24
  4. Step 4: Simplify right side
    13,635.79x = 148,535,722.94
  5. Step 5: Solve for x
    x = 148,535,722.94/13,635.79
  6. Step 6: Final answer
    x = 10,893.08

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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.