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Finding the Fourth Proportional to 5,468.84, 8,203.42 and 1,573.64

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Solution

The fourth proportional to 5,468.84, 8,203.42 and 1,573.64 is: 2,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.84 : 8,203.42 = 1,573.64 : x
  2. Step 2: Convert to fraction form
    5,468.84/8,203.42 = 1,573.64/x
  3. Step 3: Cross multiply
    5,468.84x = 8,203.42 × 1,573.64
  4. Step 4: Simplify right side
    5,468.84x = 12,909,229.85
  5. Step 5: Solve for x
    x = 12,909,229.85/5,468.84
  6. Step 6: Final answer
    x = 2,360.51

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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.