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Finding the Fourth Proportional to 8,573, 12,860.22 and 2,417

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Solution

The fourth proportional to 8,573, 12,860.22 and 2,417 is: 3,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573 : 12,860.22 = 2,417 : x
  2. Step 2: Convert to fraction form
    8,573/12,860.22 = 2,417/x
  3. Step 3: Cross multiply
    8,573x = 12,860.22 × 2,417
  4. Step 4: Simplify right side
    8,573x = 31,083,151.74
  5. Step 5: Solve for x
    x = 31,083,151.74/8,573
  6. Step 6: Final answer
    x = 3,625.70

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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.