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Finding the Fourth Proportional to 12,493.93, 17,233.69 and 9,503.21

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Solution

The fourth proportional to 12,493.93, 17,233.69 and 9,503.21 is: 13,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.93 : 17,233.69 = 9,503.21 : x
  2. Step 2: Convert to fraction form
    12,493.93/17,233.69 = 9,503.21/x
  3. Step 3: Cross multiply
    12,493.93x = 17,233.69 × 9,503.21
  4. Step 4: Simplify right side
    12,493.93x = 163,775,375.14
  5. Step 5: Solve for x
    x = 163,775,375.14/12,493.93
  6. Step 6: Final answer
    x = 13,108.40

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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.