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Finding the Fourth Proportional to 14,837, 20,476.34 and 8,214.28

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Solution

The fourth proportional to 14,837, 20,476.34 and 8,214.28 is: 11,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837 : 20,476.34 = 8,214.28 : x
  2. Step 2: Convert to fraction form
    14,837/20,476.34 = 8,214.28/x
  3. Step 3: Cross multiply
    14,837x = 20,476.34 × 8,214.28
  4. Step 4: Simplify right side
    14,837x = 168,198,390.14
  5. Step 5: Solve for x
    x = 168,198,390.14/14,837
  6. Step 6: Final answer
    x = 11,336.42

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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.