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Finding the Fourth Proportional to 14,329.46, 21,494.78 and 6,829.17

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Solution

The fourth proportional to 14,329.46, 21,494.78 and 6,829.17 is: 10,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,329.46 : 21,494.78 = 6,829.17 : x
  2. Step 2: Convert to fraction form
    14,329.46/21,494.78 = 6,829.17/x
  3. Step 3: Cross multiply
    14,329.46x = 21,494.78 × 6,829.17
  4. Step 4: Simplify right side
    14,329.46x = 146,791,506.73
  5. Step 5: Solve for x
    x = 146,791,506.73/14,329.46
  6. Step 6: Final answer
    x = 10,244.04

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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.