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Finding the Fourth Proportional to 3,537, 4,881.06 and 1,965.09

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Solution

The fourth proportional to 3,537, 4,881.06 and 1,965.09 is: 2,711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 4,881.06 = 1,965.09 : x
  2. Step 2: Convert to fraction form
    3,537/4,881.06 = 1,965.09/x
  3. Step 3: Cross multiply
    3,537x = 4,881.06 × 1,965.09
  4. Step 4: Simplify right side
    3,537x = 9,591,740.50
  5. Step 5: Solve for x
    x = 9,591,740.50/3,537
  6. Step 6: Final answer
    x = 2,711.83

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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.