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Finding the Fourth Proportional to 6,806.34, 9,400.68 and 5,448.34

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Solution

The fourth proportional to 6,806.34, 9,400.68 and 5,448.34 is: 7,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.34 : 9,400.68 = 5,448.34 : x
  2. Step 2: Convert to fraction form
    6,806.34/9,400.68 = 5,448.34/x
  3. Step 3: Cross multiply
    6,806.34x = 9,400.68 × 5,448.34
  4. Step 4: Simplify right side
    6,806.34x = 51,218,026.63
  5. Step 5: Solve for x
    x = 51,218,026.63/6,806.34
  6. Step 6: Final answer
    x = 7,525.05

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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.