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Finding the Fourth Proportional to 12,897.63, 17,800.20 and 7,233.30

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Solution

The fourth proportional to 12,897.63, 17,800.20 and 7,233.30 is: 9,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.63 : 17,800.20 = 7,233.30 : x
  2. Step 2: Convert to fraction form
    12,897.63/17,800.20 = 7,233.30/x
  3. Step 3: Cross multiply
    12,897.63x = 17,800.20 × 7,233.30
  4. Step 4: Simplify right side
    12,897.63x = 128,754,186.66
  5. Step 5: Solve for x
    x = 128,754,186.66/12,897.63
  6. Step 6: Final answer
    x = 9,982.78

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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.