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Finding the Fourth Proportional to 7,813.40, 11,717.40 and 2,265.24

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Solution

The fourth proportional to 7,813.40, 11,717.40 and 2,265.24 is: 3,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.40 : 11,717.40 = 2,265.24 : x
  2. Step 2: Convert to fraction form
    7,813.40/11,717.40 = 2,265.24/x
  3. Step 3: Cross multiply
    7,813.40x = 11,717.40 × 2,265.24
  4. Step 4: Simplify right side
    7,813.40x = 26,542,723.18
  5. Step 5: Solve for x
    x = 26,542,723.18/7,813.40
  6. Step 6: Final answer
    x = 3,397.08

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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.