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Finding the Fourth Proportional to 5,643.97, 8,464.10 and 2,356.18

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Solution

The fourth proportional to 5,643.97, 8,464.10 and 2,356.18 is: 3,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.97 : 8,464.10 = 2,356.18 : x
  2. Step 2: Convert to fraction form
    5,643.97/8,464.10 = 2,356.18/x
  3. Step 3: Cross multiply
    5,643.97x = 8,464.10 × 2,356.18
  4. Step 4: Simplify right side
    5,643.97x = 19,942,910.20
  5. Step 5: Solve for x
    x = 19,942,910.20/5,643.97
  6. Step 6: Final answer
    x = 3,533.49

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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.