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Finding the Fourth Proportional to 6,447.68, 9,666.96 and 3,326.36

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Solution

The fourth proportional to 6,447.68, 9,666.96 and 3,326.36 is: 4,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.68 : 9,666.96 = 3,326.36 : x
  2. Step 2: Convert to fraction form
    6,447.68/9,666.96 = 3,326.36/x
  3. Step 3: Cross multiply
    6,447.68x = 9,666.96 × 3,326.36
  4. Step 4: Simplify right side
    6,447.68x = 32,155,789.07
  5. Step 5: Solve for x
    x = 32,155,789.07/6,447.68
  6. Step 6: Final answer
    x = 4,987.19

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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.