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Finding the Fourth Proportional to 9,322.71, 13,980.42 and 3,476.13

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Solution

The fourth proportional to 9,322.71, 13,980.42 and 3,476.13 is: 5,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.71 : 13,980.42 = 3,476.13 : x
  2. Step 2: Convert to fraction form
    9,322.71/13,980.42 = 3,476.13/x
  3. Step 3: Cross multiply
    9,322.71x = 13,980.42 × 3,476.13
  4. Step 4: Simplify right side
    9,322.71x = 48,597,757.37
  5. Step 5: Solve for x
    x = 48,597,757.37/9,322.71
  6. Step 6: Final answer
    x = 5,212.84

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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.