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Finding the Fourth Proportional to 4,737.66, 7,107.96 and 1,965.63

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Solution

The fourth proportional to 4,737.66, 7,107.96 and 1,965.63 is: 2,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.66 : 7,107.96 = 1,965.63 : x
  2. Step 2: Convert to fraction form
    4,737.66/7,107.96 = 1,965.63/x
  3. Step 3: Cross multiply
    4,737.66x = 7,107.96 × 1,965.63
  4. Step 4: Simplify right side
    4,737.66x = 13,971,619.41
  5. Step 5: Solve for x
    x = 13,971,619.41/4,737.66
  6. Step 6: Final answer
    x = 2,949.05

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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.