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Finding the Fourth Proportional to 13,434, 20,151.06 and 4,200

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Solution

The fourth proportional to 13,434, 20,151.06 and 4,200 is: 6,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 20,151.06 = 4,200 : x
  2. Step 2: Convert to fraction form
    13,434/20,151.06 = 4,200/x
  3. Step 3: Cross multiply
    13,434x = 20,151.06 × 4,200
  4. Step 4: Simplify right side
    13,434x = 84,634,452
  5. Step 5: Solve for x
    x = 84,634,452/13,434
  6. Step 6: Final answer
    x = 6,300.02

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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.