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Finding the Fourth Proportional to 6,335.77, 9,496.36 and 3,407.93

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Solution

The fourth proportional to 6,335.77, 9,496.36 and 3,407.93 is: 5,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.77 : 9,496.36 = 3,407.93 : x
  2. Step 2: Convert to fraction form
    6,335.77/9,496.36 = 3,407.93/x
  3. Step 3: Cross multiply
    6,335.77x = 9,496.36 × 3,407.93
  4. Step 4: Simplify right side
    6,335.77x = 32,362,930.13
  5. Step 5: Solve for x
    x = 32,362,930.13/6,335.77
  6. Step 6: Final answer
    x = 5,107.97

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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.