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Finding the Fourth Proportional to 12,773.92, 17,627.34 and 7,108.96

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Solution

The fourth proportional to 12,773.92, 17,627.34 and 7,108.96 is: 9,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.92 : 17,627.34 = 7,108.96 : x
  2. Step 2: Convert to fraction form
    12,773.92/17,627.34 = 7,108.96/x
  3. Step 3: Cross multiply
    12,773.92x = 17,627.34 × 7,108.96
  4. Step 4: Simplify right side
    12,773.92x = 125,312,054.97
  5. Step 5: Solve for x
    x = 125,312,054.97/12,773.92
  6. Step 6: Final answer
    x = 9,809.99

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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.