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Finding the Fourth Proportional to 13,902.48, 20,853.48 and 3,514.20

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Solution

The fourth proportional to 13,902.48, 20,853.48 and 3,514.20 is: 5,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.48 : 20,853.48 = 3,514.20 : x
  2. Step 2: Convert to fraction form
    13,902.48/20,853.48 = 3,514.20/x
  3. Step 3: Cross multiply
    13,902.48x = 20,853.48 × 3,514.20
  4. Step 4: Simplify right side
    13,902.48x = 73,283,299.42
  5. Step 5: Solve for x
    x = 73,283,299.42/13,902.48
  6. Step 6: Final answer
    x = 5,271.24

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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.