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Finding the Fourth Proportional to 8,713, 13,069.50 and 2,557

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Solution

The fourth proportional to 8,713, 13,069.50 and 2,557 is: 3,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713 : 13,069.50 = 2,557 : x
  2. Step 2: Convert to fraction form
    8,713/13,069.50 = 2,557/x
  3. Step 3: Cross multiply
    8,713x = 13,069.50 × 2,557
  4. Step 4: Simplify right side
    8,713x = 33,418,711.50
  5. Step 5: Solve for x
    x = 33,418,711.50/8,713
  6. Step 6: Final answer
    x = 3,835.50

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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.