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Finding the Fourth Proportional to 8,926.72, 13,403.16 and 8,769.24

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Solution

The fourth proportional to 8,926.72, 13,403.16 and 8,769.24 is: 13,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.72 : 13,403.16 = 8,769.24 : x
  2. Step 2: Convert to fraction form
    8,926.72/13,403.16 = 8,769.24/x
  3. Step 3: Cross multiply
    8,926.72x = 13,403.16 × 8,769.24
  4. Step 4: Simplify right side
    8,926.72x = 117,535,526.80
  5. Step 5: Solve for x
    x = 117,535,526.80/8,926.72
  6. Step 6: Final answer
    x = 13,166.71

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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.