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Finding the Fourth Proportional to 14,124.66, 21,193.07 and 6,729.17

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Solution

The fourth proportional to 14,124.66, 21,193.07 and 6,729.17 is: 10,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.66 : 21,193.07 = 6,729.17 : x
  2. Step 2: Convert to fraction form
    14,124.66/21,193.07 = 6,729.17/x
  3. Step 3: Cross multiply
    14,124.66x = 21,193.07 × 6,729.17
  4. Step 4: Simplify right side
    14,124.66x = 142,611,631.24
  5. Step 5: Solve for x
    x = 142,611,631.24/14,124.66
  6. Step 6: Final answer
    x = 10,096.64

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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.