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Finding the Fourth Proportional to 7,223.52, 10,835.24 and 2,542.44

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Solution

The fourth proportional to 7,223.52, 10,835.24 and 2,542.44 is: 3,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.52 : 10,835.24 = 2,542.44 : x
  2. Step 2: Convert to fraction form
    7,223.52/10,835.24 = 2,542.44/x
  3. Step 3: Cross multiply
    7,223.52x = 10,835.24 × 2,542.44
  4. Step 4: Simplify right side
    7,223.52x = 27,547,947.59
  5. Step 5: Solve for x
    x = 27,547,947.59/7,223.52
  6. Step 6: Final answer
    x = 3,813.65

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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.