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Finding the Fourth Proportional to 9,519.16, 14,282.16 and 4,253.73

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Solution

The fourth proportional to 9,519.16, 14,282.16 and 4,253.73 is: 6,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.16 : 14,282.16 = 4,253.73 : x
  2. Step 2: Convert to fraction form
    9,519.16/14,282.16 = 4,253.73/x
  3. Step 3: Cross multiply
    9,519.16x = 14,282.16 × 4,253.73
  4. Step 4: Simplify right side
    9,519.16x = 60,752,431.19
  5. Step 5: Solve for x
    x = 60,752,431.19/9,519.16
  6. Step 6: Final answer
    x = 6,382.12

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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.