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Finding the Fourth Proportional to 7,233.14, 9,981.92 and 4,089.33

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Solution

The fourth proportional to 7,233.14, 9,981.92 and 4,089.33 is: 5,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.14 : 9,981.92 = 4,089.33 : x
  2. Step 2: Convert to fraction form
    7,233.14/9,981.92 = 4,089.33/x
  3. Step 3: Cross multiply
    7,233.14x = 9,981.92 × 4,089.33
  4. Step 4: Simplify right side
    7,233.14x = 40,819,364.91
  5. Step 5: Solve for x
    x = 40,819,364.91/7,233.14
  6. Step 6: Final answer
    x = 5,643.38

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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.