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Finding the Fourth Proportional to 13,755.88, 20,659.34 and 9,598.76

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Solution

The fourth proportional to 13,755.88, 20,659.34 and 9,598.76 is: 14,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.88 : 20,659.34 = 9,598.76 : x
  2. Step 2: Convert to fraction form
    13,755.88/20,659.34 = 9,598.76/x
  3. Step 3: Cross multiply
    13,755.88x = 20,659.34 × 9,598.76
  4. Step 4: Simplify right side
    13,755.88x = 198,303,895.13
  5. Step 5: Solve for x
    x = 198,303,895.13/13,755.88
  6. Step 6: Final answer
    x = 14,415.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.