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Finding the Fourth Proportional to 6,326.81, 9,494.31 and 3,407.16

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Solution

The fourth proportional to 6,326.81, 9,494.31 and 3,407.16 is: 5,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.81 : 9,494.31 = 3,407.16 : x
  2. Step 2: Convert to fraction form
    6,326.81/9,494.31 = 3,407.16/x
  3. Step 3: Cross multiply
    6,326.81x = 9,494.31 × 3,407.16
  4. Step 4: Simplify right side
    6,326.81x = 32,348,681.64
  5. Step 5: Solve for x
    x = 32,348,681.64/6,326.81
  6. Step 6: Final answer
    x = 5,112.95

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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.