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Finding the Fourth Proportional to 9,419.99, 12,998.07 and 5,440.37

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Solution

The fourth proportional to 9,419.99, 12,998.07 and 5,440.37 is: 7,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.99 : 12,998.07 = 5,440.37 : x
  2. Step 2: Convert to fraction form
    9,419.99/12,998.07 = 5,440.37/x
  3. Step 3: Cross multiply
    9,419.99x = 12,998.07 × 5,440.37
  4. Step 4: Simplify right side
    9,419.99x = 70,714,245.10
  5. Step 5: Solve for x
    x = 70,714,245.10/9,419.99
  6. Step 6: Final answer
    x = 7,506.83

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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.