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Finding the Fourth Proportional to 12,745, 19,117.50 and 3,511

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Solution

The fourth proportional to 12,745, 19,117.50 and 3,511 is: 5,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745 : 19,117.50 = 3,511 : x
  2. Step 2: Convert to fraction form
    12,745/19,117.50 = 3,511/x
  3. Step 3: Cross multiply
    12,745x = 19,117.50 × 3,511
  4. Step 4: Simplify right side
    12,745x = 67,121,542.50
  5. Step 5: Solve for x
    x = 67,121,542.50/12,745
  6. Step 6: Final answer
    x = 5,266.50

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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.