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Finding the Fourth Proportional to 4,965.84, 7,447.86 and 3,500.46

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Solution

The fourth proportional to 4,965.84, 7,447.86 and 3,500.46 is: 5,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.84 : 7,447.86 = 3,500.46 : x
  2. Step 2: Convert to fraction form
    4,965.84/7,447.86 = 3,500.46/x
  3. Step 3: Cross multiply
    4,965.84x = 7,447.86 × 3,500.46
  4. Step 4: Simplify right side
    4,965.84x = 26,070,936.02
  5. Step 5: Solve for x
    x = 26,070,936.02/4,965.84
  6. Step 6: Final answer
    x = 5,250.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.