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Finding the Fourth Proportional to 12,300.95, 16,975.50 and 6,711.95

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Solution

The fourth proportional to 12,300.95, 16,975.50 and 6,711.95 is: 9,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.95 : 16,975.50 = 6,711.95 : x
  2. Step 2: Convert to fraction form
    12,300.95/16,975.50 = 6,711.95/x
  3. Step 3: Cross multiply
    12,300.95x = 16,975.50 × 6,711.95
  4. Step 4: Simplify right side
    12,300.95x = 113,938,707.23
  5. Step 5: Solve for x
    x = 113,938,707.23/12,300.95
  6. Step 6: Final answer
    x = 9,262.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.