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Finding the Fourth Proportional to 12,503.60, 17,257.16 and 9,514.64

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Solution

The fourth proportional to 12,503.60, 17,257.16 and 9,514.64 is: 13,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.60 : 17,257.16 = 9,514.64 : x
  2. Step 2: Convert to fraction form
    12,503.60/17,257.16 = 9,514.64/x
  3. Step 3: Cross multiply
    12,503.60x = 17,257.16 × 9,514.64
  4. Step 4: Simplify right side
    12,503.60x = 164,195,664.82
  5. Step 5: Solve for x
    x = 164,195,664.82/12,503.60
  6. Step 6: Final answer
    x = 13,131.87

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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.