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Finding the Fourth Proportional to 13,714.56, 18,925.92 and 8,048.30

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Solution

The fourth proportional to 13,714.56, 18,925.92 and 8,048.30 is: 11,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.56 : 18,925.92 = 8,048.30 : x
  2. Step 2: Convert to fraction form
    13,714.56/18,925.92 = 8,048.30/x
  3. Step 3: Cross multiply
    13,714.56x = 18,925.92 × 8,048.30
  4. Step 4: Simplify right side
    13,714.56x = 152,321,481.94
  5. Step 5: Solve for x
    x = 152,321,481.94/13,714.56
  6. Step 6: Final answer
    x = 11,106.55

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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.