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Finding the Fourth Proportional to 14,878.73, 20,532.49 and 8,164.04

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Solution

The fourth proportional to 14,878.73, 20,532.49 and 8,164.04 is: 11,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.73 : 20,532.49 = 8,164.04 : x
  2. Step 2: Convert to fraction form
    14,878.73/20,532.49 = 8,164.04/x
  3. Step 3: Cross multiply
    14,878.73x = 20,532.49 × 8,164.04
  4. Step 4: Simplify right side
    14,878.73x = 167,627,946.59
  5. Step 5: Solve for x
    x = 167,627,946.59/14,878.73
  6. Step 6: Final answer
    x = 11,266.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.