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Finding the Fourth Proportional to 12,782.63, 17,638.49 and 7,115.96

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Solution

The fourth proportional to 12,782.63, 17,638.49 and 7,115.96 is: 9,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.63 : 17,638.49 = 7,115.96 : x
  2. Step 2: Convert to fraction form
    12,782.63/17,638.49 = 7,115.96/x
  3. Step 3: Cross multiply
    12,782.63x = 17,638.49 × 7,115.96
  4. Step 4: Simplify right side
    12,782.63x = 125,514,665.53
  5. Step 5: Solve for x
    x = 125,514,665.53/12,782.63
  6. Step 6: Final answer
    x = 9,819.16

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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.