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Finding the Fourth Proportional to 7,267.91, 10,030.16 and 4,082.25

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Solution

The fourth proportional to 7,267.91, 10,030.16 and 4,082.25 is: 5,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.91 : 10,030.16 = 4,082.25 : x
  2. Step 2: Convert to fraction form
    7,267.91/10,030.16 = 4,082.25/x
  3. Step 3: Cross multiply
    7,267.91x = 10,030.16 × 4,082.25
  4. Step 4: Simplify right side
    7,267.91x = 40,945,630.87
  5. Step 5: Solve for x
    x = 40,945,630.87/7,267.91
  6. Step 6: Final answer
    x = 5,633.75

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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.