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Finding the Fourth Proportional to 7,225.92, 9,971.64 and 4,082.04

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Solution

The fourth proportional to 7,225.92, 9,971.64 and 4,082.04 is: 5,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.92 : 9,971.64 = 4,082.04 : x
  2. Step 2: Convert to fraction form
    7,225.92/9,971.64 = 4,082.04/x
  3. Step 3: Cross multiply
    7,225.92x = 9,971.64 × 4,082.04
  4. Step 4: Simplify right side
    7,225.92x = 40,704,633.35
  5. Step 5: Solve for x
    x = 40,704,633.35/7,225.92
  6. Step 6: Final answer
    x = 5,633.14

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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.