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Finding the Fourth Proportional to 14,689.50, 22,034.25 and 3,745.50

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Solution

The fourth proportional to 14,689.50, 22,034.25 and 3,745.50 is: 5,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.50 : 22,034.25 = 3,745.50 : x
  2. Step 2: Convert to fraction form
    14,689.50/22,034.25 = 3,745.50/x
  3. Step 3: Cross multiply
    14,689.50x = 22,034.25 × 3,745.50
  4. Step 4: Simplify right side
    14,689.50x = 82,529,283.38
  5. Step 5: Solve for x
    x = 82,529,283.38/14,689.50
  6. Step 6: Final answer
    x = 5,618.25

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1.5x scale

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.