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Finding the Fourth Proportional to 4,655.48, 6,983.24 and 1,577.48

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Solution

The fourth proportional to 4,655.48, 6,983.24 and 1,577.48 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.48 : 6,983.24 = 1,577.48 : x
  2. Step 2: Convert to fraction form
    4,655.48/6,983.24 = 1,577.48/x
  3. Step 3: Cross multiply
    4,655.48x = 6,983.24 × 1,577.48
  4. Step 4: Simplify right side
    4,655.48x = 11,015,921.44
  5. Step 5: Solve for x
    x = 11,015,921.44/4,655.48
  6. Step 6: Final answer
    x = 2,366.23

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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.