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Finding the Fourth Proportional to 4,641, 6,962.60 and 1,563

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Solution

The fourth proportional to 4,641, 6,962.60 and 1,563 is: 2,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641 : 6,962.60 = 1,563 : x
  2. Step 2: Convert to fraction form
    4,641/6,962.60 = 1,563/x
  3. Step 3: Cross multiply
    4,641x = 6,962.60 × 1,563
  4. Step 4: Simplify right side
    4,641x = 10,882,535.99
  5. Step 5: Solve for x
    x = 10,882,535.99/4,641
  6. Step 6: Final answer
    x = 2,344.87

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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.