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Finding the Fourth Proportional to 7,362.54, 11,043.41 and 2,978.82

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Solution

The fourth proportional to 7,362.54, 11,043.41 and 2,978.82 is: 4,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.54 : 11,043.41 = 2,978.82 : x
  2. Step 2: Convert to fraction form
    7,362.54/11,043.41 = 2,978.82/x
  3. Step 3: Cross multiply
    7,362.54x = 11,043.41 × 2,978.82
  4. Step 4: Simplify right side
    7,362.54x = 32,896,315.68
  5. Step 5: Solve for x
    x = 32,896,315.68/7,362.54
  6. Step 6: Final answer
    x = 4,468.07

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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.