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Finding the Fourth Proportional to 9,598.80, 14,400.22 and 5,440.80

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Solution

The fourth proportional to 9,598.80, 14,400.22 and 5,440.80 is: 8,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.80 : 14,400.22 = 5,440.80 : x
  2. Step 2: Convert to fraction form
    9,598.80/14,400.22 = 5,440.80/x
  3. Step 3: Cross multiply
    9,598.80x = 14,400.22 × 5,440.80
  4. Step 4: Simplify right side
    9,598.80x = 78,348,716.98
  5. Step 5: Solve for x
    x = 78,348,716.98/9,598.80
  6. Step 6: Final answer
    x = 8,162.34

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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.