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Finding the Fourth Proportional to 7,282.48, 10,922.09 and 2,840.25

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Solution

The fourth proportional to 7,282.48, 10,922.09 and 2,840.25 is: 4,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.48 : 10,922.09 = 2,840.25 : x
  2. Step 2: Convert to fraction form
    7,282.48/10,922.09 = 2,840.25/x
  3. Step 3: Cross multiply
    7,282.48x = 10,922.09 × 2,840.25
  4. Step 4: Simplify right side
    7,282.48x = 31,021,493.50
  5. Step 5: Solve for x
    x = 31,021,493.50/7,282.48
  6. Step 6: Final answer
    x = 4,259.74

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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.