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Finding the Fourth Proportional to 7,233.96, 9,980.10 and 5,350.08

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Solution

The fourth proportional to 7,233.96, 9,980.10 and 5,350.08 is: 7,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.96 : 9,980.10 = 5,350.08 : x
  2. Step 2: Convert to fraction form
    7,233.96/9,980.10 = 5,350.08/x
  3. Step 3: Cross multiply
    7,233.96x = 9,980.10 × 5,350.08
  4. Step 4: Simplify right side
    7,233.96x = 53,394,333.41
  5. Step 5: Solve for x
    x = 53,394,333.41/7,233.96
  6. Step 6: Final answer
    x = 7,381.07

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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.