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Finding the Fourth Proportional to 9,524.16, 14,251.68 and 7,865.28

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Solution

The fourth proportional to 9,524.16, 14,251.68 and 7,865.28 is: 11,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.16 : 14,251.68 = 7,865.28 : x
  2. Step 2: Convert to fraction form
    9,524.16/14,251.68 = 7,865.28/x
  3. Step 3: Cross multiply
    9,524.16x = 14,251.68 × 7,865.28
  4. Step 4: Simplify right side
    9,524.16x = 112,093,453.67
  5. Step 5: Solve for x
    x = 112,093,453.67/9,524.16
  6. Step 6: Final answer
    x = 11,769.38

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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.