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Finding the Fourth Proportional to 7,225.98, 9,971.54 and 4,082.46

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Solution

The fourth proportional to 7,225.98, 9,971.54 and 4,082.46 is: 5,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.98 : 9,971.54 = 4,082.46 : x
  2. Step 2: Convert to fraction form
    7,225.98/9,971.54 = 4,082.46/x
  3. Step 3: Cross multiply
    7,225.98x = 9,971.54 × 4,082.46
  4. Step 4: Simplify right side
    7,225.98x = 40,708,413.19
  5. Step 5: Solve for x
    x = 40,708,413.19/7,225.98
  6. Step 6: Final answer
    x = 5,633.62

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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.