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Finding the Fourth Proportional to 12,897.96, 17,800.68 and 7,234.26

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Solution

The fourth proportional to 12,897.96, 17,800.68 and 7,234.26 is: 9,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.96 : 17,800.68 = 7,234.26 : x
  2. Step 2: Convert to fraction form
    12,897.96/17,800.68 = 7,234.26/x
  3. Step 3: Cross multiply
    12,897.96x = 17,800.68 × 7,234.26
  4. Step 4: Simplify right side
    12,897.96x = 128,774,747.30
  5. Step 5: Solve for x
    x = 128,774,747.30/12,897.96
  6. Step 6: Final answer
    x = 9,984.12

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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.