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Finding the Fourth Proportional to 8,573.52, 12,850 and 4,415.49

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Solution

The fourth proportional to 8,573.52, 12,850 and 4,415.49 is: 6,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573.52 : 12,850 = 4,415.49 : x
  2. Step 2: Convert to fraction form
    8,573.52/12,850 = 4,415.49/x
  3. Step 3: Cross multiply
    8,573.52x = 12,850 × 4,415.49
  4. Step 4: Simplify right side
    8,573.52x = 56,739,046.50
  5. Step 5: Solve for x
    x = 56,739,046.50/8,573.52
  6. Step 6: Final answer
    x = 6,617.94

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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.