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Finding the Fourth Proportional to 13,807.58, 20,714.42 and 5,042.48

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Solution

The fourth proportional to 13,807.58, 20,714.42 and 5,042.48 is: 7,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.58 : 20,714.42 = 5,042.48 : x
  2. Step 2: Convert to fraction form
    13,807.58/20,714.42 = 5,042.48/x
  3. Step 3: Cross multiply
    13,807.58x = 20,714.42 × 5,042.48
  4. Step 4: Simplify right side
    13,807.58x = 104,452,048.56
  5. Step 5: Solve for x
    x = 104,452,048.56/13,807.58
  6. Step 6: Final answer
    x = 7,564.83

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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.