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Finding the Fourth Proportional to 34,714.38, 52,071.57 and 8,419.08

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Solution

The fourth proportional to 34,714.38, 52,071.57 and 8,419.08 is: 12,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.38 : 52,071.57 = 8,419.08 : x
  2. Step 2: Convert to fraction form
    34,714.38/52,071.57 = 8,419.08/x
  3. Step 3: Cross multiply
    34,714.38x = 52,071.57 × 8,419.08
  4. Step 4: Simplify right side
    34,714.38x = 438,394,713.56
  5. Step 5: Solve for x
    x = 438,394,713.56/34,714.38
  6. Step 6: Final answer
    x = 12,628.62

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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.