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Finding the Fourth Proportional to 9,496.81, 14,209.07 and 5,734.75

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Solution

The fourth proportional to 9,496.81, 14,209.07 and 5,734.75 is: 8,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.81 : 14,209.07 = 5,734.75 : x
  2. Step 2: Convert to fraction form
    9,496.81/14,209.07 = 5,734.75/x
  3. Step 3: Cross multiply
    9,496.81x = 14,209.07 × 5,734.75
  4. Step 4: Simplify right side
    9,496.81x = 81,485,407.47
  5. Step 5: Solve for x
    x = 81,485,407.47/9,496.81
  6. Step 6: Final answer
    x = 8,580.29

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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.