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Finding the Fourth Proportional to 7,233.57, 9,982.98 and 4,089.69

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Solution

The fourth proportional to 7,233.57, 9,982.98 and 4,089.69 is: 5,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.57 : 9,982.98 = 4,089.69 : x
  2. Step 2: Convert to fraction form
    7,233.57/9,982.98 = 4,089.69/x
  3. Step 3: Cross multiply
    7,233.57x = 9,982.98 × 4,089.69
  4. Step 4: Simplify right side
    7,233.57x = 40,827,293.48
  5. Step 5: Solve for x
    x = 40,827,293.48/7,233.57
  6. Step 6: Final answer
    x = 5,644.14

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Double scale
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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.