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Finding the Fourth Proportional to 7,232.67, 9,982.94 and 4,090.59

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Solution

The fourth proportional to 7,232.67, 9,982.94 and 4,090.59 is: 5,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.67 : 9,982.94 = 4,090.59 : x
  2. Step 2: Convert to fraction form
    7,232.67/9,982.94 = 4,090.59/x
  3. Step 3: Cross multiply
    7,232.67x = 9,982.94 × 4,090.59
  4. Step 4: Simplify right side
    7,232.67x = 40,836,094.08
  5. Step 5: Solve for x
    x = 40,836,094.08/7,232.67
  6. Step 6: Final answer
    x = 5,646.06

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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.