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Finding the Fourth Proportional to 7,233.80, 9,982.54 and 4,089.88

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Solution

The fourth proportional to 7,233.80, 9,982.54 and 4,089.88 is: 5,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.80 : 9,982.54 = 4,089.88 : x
  2. Step 2: Convert to fraction form
    7,233.80/9,982.54 = 4,089.88/x
  3. Step 3: Cross multiply
    7,233.80x = 9,982.54 × 4,089.88
  4. Step 4: Simplify right side
    7,233.80x = 40,827,390.70
  5. Step 5: Solve for x
    x = 40,827,390.70/7,233.80
  6. Step 6: Final answer
    x = 5,643.98

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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.