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Finding the Fourth Proportional to 7,169.72, 9,894.24 and 3,983.08

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Solution

The fourth proportional to 7,169.72, 9,894.24 and 3,983.08 is: 5,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.72 : 9,894.24 = 3,983.08 : x
  2. Step 2: Convert to fraction form
    7,169.72/9,894.24 = 3,983.08/x
  3. Step 3: Cross multiply
    7,169.72x = 9,894.24 × 3,983.08
  4. Step 4: Simplify right side
    7,169.72x = 39,409,549.46
  5. Step 5: Solve for x
    x = 39,409,549.46/7,169.72
  6. Step 6: Final answer
    x = 5,496.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.