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Finding the Fourth Proportional to 14,640.78, 20,204.27 and 7,926.46

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Solution

The fourth proportional to 14,640.78, 20,204.27 and 7,926.46 is: 10,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.78 : 20,204.27 = 7,926.46 : x
  2. Step 2: Convert to fraction form
    14,640.78/20,204.27 = 7,926.46/x
  3. Step 3: Cross multiply
    14,640.78x = 20,204.27 × 7,926.46
  4. Step 4: Simplify right side
    14,640.78x = 160,148,277.57
  5. Step 5: Solve for x
    x = 160,148,277.57/14,640.78
  6. Step 6: Final answer
    x = 10,938.50

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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.