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Finding the Fourth Proportional to 7,231.67, 9,981.53 and 4,089.68

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Solution

The fourth proportional to 7,231.67, 9,981.53 and 4,089.68 is: 5,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.67 : 9,981.53 = 4,089.68 : x
  2. Step 2: Convert to fraction form
    7,231.67/9,981.53 = 4,089.68/x
  3. Step 3: Cross multiply
    7,231.67x = 9,981.53 × 4,089.68
  4. Step 4: Simplify right side
    7,231.67x = 40,821,263.61
  5. Step 5: Solve for x
    x = 40,821,263.61/7,231.67
  6. Step 6: Final answer
    x = 5,644.79

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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.