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Finding the Fourth Proportional to 7,073.67, 9,760.92 and 4,090.46

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Solution

The fourth proportional to 7,073.67, 9,760.92 and 4,090.46 is: 5,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.67 : 9,760.92 = 4,090.46 : x
  2. Step 2: Convert to fraction form
    7,073.67/9,760.92 = 4,090.46/x
  3. Step 3: Cross multiply
    7,073.67x = 9,760.92 × 4,090.46
  4. Step 4: Simplify right side
    7,073.67x = 39,926,604.02
  5. Step 5: Solve for x
    x = 39,926,604.02/7,073.67
  6. Step 6: Final answer
    x = 5,644.40

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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.