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Finding the Fourth Proportional to 7,065.91, 9,749.82 and 4,082.14

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Solution

The fourth proportional to 7,065.91, 9,749.82 and 4,082.14 is: 5,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.91 : 9,749.82 = 4,082.14 : x
  2. Step 2: Convert to fraction form
    7,065.91/9,749.82 = 4,082.14/x
  3. Step 3: Cross multiply
    7,065.91x = 9,749.82 × 4,082.14
  4. Step 4: Simplify right side
    7,065.91x = 39,800,130.21
  5. Step 5: Solve for x
    x = 39,800,130.21/7,065.91
  6. Step 6: Final answer
    x = 5,632.70

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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.