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Finding the Fourth Proportional to 10,628.24, 15,924.12 and 5,947.24

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Solution

The fourth proportional to 10,628.24, 15,924.12 and 5,947.24 is: 8,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.24 : 15,924.12 = 5,947.24 : x
  2. Step 2: Convert to fraction form
    10,628.24/15,924.12 = 5,947.24/x
  3. Step 3: Cross multiply
    10,628.24x = 15,924.12 × 5,947.24
  4. Step 4: Simplify right side
    10,628.24x = 94,704,563.43
  5. Step 5: Solve for x
    x = 94,704,563.43/10,628.24
  6. Step 6: Final answer
    x = 8,910.65

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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.