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Finding the Fourth Proportional to 13,662.86, 20,494.20 and 7,815.32

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Solution

The fourth proportional to 13,662.86, 20,494.20 and 7,815.32 is: 11,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.86 : 20,494.20 = 7,815.32 : x
  2. Step 2: Convert to fraction form
    13,662.86/20,494.20 = 7,815.32/x
  3. Step 3: Cross multiply
    13,662.86x = 20,494.20 × 7,815.32
  4. Step 4: Simplify right side
    13,662.86x = 160,168,731.14
  5. Step 5: Solve for x
    x = 160,168,731.14/13,662.86
  6. Step 6: Final answer
    x = 11,722.93

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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.