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Finding the Fourth Proportional to 7,282.94, 10,939.95 and 5,216.22

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Solution

The fourth proportional to 7,282.94, 10,939.95 and 5,216.22 is: 7,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.94 : 10,939.95 = 5,216.22 : x
  2. Step 2: Convert to fraction form
    7,282.94/10,939.95 = 5,216.22/x
  3. Step 3: Cross multiply
    7,282.94x = 10,939.95 × 5,216.22
  4. Step 4: Simplify right side
    7,282.94x = 57,065,185.99
  5. Step 5: Solve for x
    x = 57,065,185.99/7,282.94
  6. Step 6: Final answer
    x = 7,835.47

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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.