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Finding the Fourth Proportional to 14,470.68, 21,706.50 and 4,611

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Solution

The fourth proportional to 14,470.68, 21,706.50 and 4,611 is: 6,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.68 : 21,706.50 = 4,611 : x
  2. Step 2: Convert to fraction form
    14,470.68/21,706.50 = 4,611/x
  3. Step 3: Cross multiply
    14,470.68x = 21,706.50 × 4,611
  4. Step 4: Simplify right side
    14,470.68x = 100,088,671.50
  5. Step 5: Solve for x
    x = 100,088,671.50/14,470.68
  6. Step 6: Final answer
    x = 6,916.65

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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.