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Finding the Fourth Proportional to 7,465.74, 11,198.87 and 2,468.23

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Solution

The fourth proportional to 7,465.74, 11,198.87 and 2,468.23 is: 3,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.74 : 11,198.87 = 2,468.23 : x
  2. Step 2: Convert to fraction form
    7,465.74/11,198.87 = 2,468.23/x
  3. Step 3: Cross multiply
    7,465.74x = 11,198.87 × 2,468.23
  4. Step 4: Simplify right side
    7,465.74x = 27,641,386.90
  5. Step 5: Solve for x
    x = 27,641,386.90/7,465.74
  6. Step 6: Final answer
    x = 3,702.43

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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.