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Finding the Fourth Proportional to 3,663.64, 5,493.06 and 1,716.76

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Solution

The fourth proportional to 3,663.64, 5,493.06 and 1,716.76 is: 2,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.64 : 5,493.06 = 1,716.76 : x
  2. Step 2: Convert to fraction form
    3,663.64/5,493.06 = 1,716.76/x
  3. Step 3: Cross multiply
    3,663.64x = 5,493.06 × 1,716.76
  4. Step 4: Simplify right side
    3,663.64x = 9,430,265.69
  5. Step 5: Solve for x
    x = 9,430,265.69/3,663.64
  6. Step 6: Final answer
    x = 2,574.02

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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.