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Finding the Fourth Proportional to 34,138.13, 51,215.83 and 9,514.13

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Solution

The fourth proportional to 34,138.13, 51,215.83 and 9,514.13 is: 14,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.13 : 51,215.83 = 9,514.13 : x
  2. Step 2: Convert to fraction form
    34,138.13/51,215.83 = 9,514.13/x
  3. Step 3: Cross multiply
    34,138.13x = 51,215.83 × 9,514.13
  4. Step 4: Simplify right side
    34,138.13x = 487,273,784.81
  5. Step 5: Solve for x
    x = 487,273,784.81/34,138.13
  6. Step 6: Final answer
    x = 14,273.60

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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.