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Finding the Fourth Proportional to 3,763.56, 5,646.24 and 1,166.49

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Solution

The fourth proportional to 3,763.56, 5,646.24 and 1,166.49 is: 1,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.56 : 5,646.24 = 1,166.49 : x
  2. Step 2: Convert to fraction form
    3,763.56/5,646.24 = 1,166.49/x
  3. Step 3: Cross multiply
    3,763.56x = 5,646.24 × 1,166.49
  4. Step 4: Simplify right side
    3,763.56x = 6,586,282.50
  5. Step 5: Solve for x
    x = 6,586,282.50/3,763.56
  6. Step 6: Final answer
    x = 1,750.01

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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.