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Finding the Fourth Proportional to 14,510.50, 21,766 and 6,302.50

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Solution

The fourth proportional to 14,510.50, 21,766 and 6,302.50 is: 9,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.50 : 21,766 = 6,302.50 : x
  2. Step 2: Convert to fraction form
    14,510.50/21,766 = 6,302.50/x
  3. Step 3: Cross multiply
    14,510.50x = 21,766 × 6,302.50
  4. Step 4: Simplify right side
    14,510.50x = 137,180,215
  5. Step 5: Solve for x
    x = 137,180,215/14,510.50
  6. Step 6: Final answer
    x = 9,453.86

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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.