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Finding the Fourth Proportional to 5,663.25, 8,494.88 and 1,559.25

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Solution

The fourth proportional to 5,663.25, 8,494.88 and 1,559.25 is: 2,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.25 : 8,494.88 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    5,663.25/8,494.88 = 1,559.25/x
  3. Step 3: Cross multiply
    5,663.25x = 8,494.88 × 1,559.25
  4. Step 4: Simplify right side
    5,663.25x = 13,245,633.84
  5. Step 5: Solve for x
    x = 13,245,633.84/5,663.25
  6. Step 6: Final answer
    x = 2,338.88

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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.