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Finding the Fourth Proportional to 17,301.75, 25,952.63 and 6,209.12

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Solution

The fourth proportional to 17,301.75, 25,952.63 and 6,209.12 is: 9,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.75 : 25,952.63 = 6,209.12 : x
  2. Step 2: Convert to fraction form
    17,301.75/25,952.63 = 6,209.12/x
  3. Step 3: Cross multiply
    17,301.75x = 25,952.63 × 6,209.12
  4. Step 4: Simplify right side
    17,301.75x = 161,142,833.18
  5. Step 5: Solve for x
    x = 161,142,833.18/17,301.75
  6. Step 6: Final answer
    x = 9,313.67

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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.