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Finding the Fourth Proportional to 14,641.13, 20,204.78 and 7,926.77

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Solution

The fourth proportional to 14,641.13, 20,204.78 and 7,926.77 is: 10,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.13 : 20,204.78 = 7,926.77 : x
  2. Step 2: Convert to fraction form
    14,641.13/20,204.78 = 7,926.77/x
  3. Step 3: Cross multiply
    14,641.13x = 20,204.78 × 7,926.77
  4. Step 4: Simplify right side
    14,641.13x = 160,158,503.30
  5. Step 5: Solve for x
    x = 160,158,503.30/14,641.13
  6. Step 6: Final answer
    x = 10,938.94

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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.