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Finding the Fourth Proportional to 4,482.70, 6,727.47 and 1,563.46

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Solution

The fourth proportional to 4,482.70, 6,727.47 and 1,563.46 is: 2,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.70 : 6,727.47 = 1,563.46 : x
  2. Step 2: Convert to fraction form
    4,482.70/6,727.47 = 1,563.46/x
  3. Step 3: Cross multiply
    4,482.70x = 6,727.47 × 1,563.46
  4. Step 4: Simplify right side
    4,482.70x = 10,518,130.25
  5. Step 5: Solve for x
    x = 10,518,130.25/4,482.70
  6. Step 6: Final answer
    x = 2,346.38

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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.