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Finding the Fourth Proportional to 7,241.86, 9,994.84 and 4,589.51

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Solution

The fourth proportional to 7,241.86, 9,994.84 and 4,589.51 is: 6,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.86 : 9,994.84 = 4,589.51 : x
  2. Step 2: Convert to fraction form
    7,241.86/9,994.84 = 4,589.51/x
  3. Step 3: Cross multiply
    7,241.86x = 9,994.84 × 4,589.51
  4. Step 4: Simplify right side
    7,241.86x = 45,871,418.13
  5. Step 5: Solve for x
    x = 45,871,418.13/7,241.86
  6. Step 6: Final answer
    x = 6,334.20

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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.