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Finding the Fourth Proportional to 7,241.81, 9,993.85 and 4,098.00

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Solution

The fourth proportional to 7,241.81, 9,993.85 and 4,098.00 is: 5,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.81 : 9,993.85 = 4,098.00 : x
  2. Step 2: Convert to fraction form
    7,241.81/9,993.85 = 4,098.00/x
  3. Step 3: Cross multiply
    7,241.81x = 9,993.85 × 4,098.00
  4. Step 4: Simplify right side
    7,241.81x = 40,954,726.84
  5. Step 5: Solve for x
    x = 40,954,726.84/7,241.81
  6. Step 6: Final answer
    x = 5,655.32

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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.