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Finding the Fourth Proportional to 8,417.60, 11,604.16 and 5,891.92

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Solution

The fourth proportional to 8,417.60, 11,604.16 and 5,891.92 is: 8,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.60 : 11,604.16 = 5,891.92 : x
  2. Step 2: Convert to fraction form
    8,417.60/11,604.16 = 5,891.92/x
  3. Step 3: Cross multiply
    8,417.60x = 11,604.16 × 5,891.92
  4. Step 4: Simplify right side
    8,417.60x = 68,370,782.39
  5. Step 5: Solve for x
    x = 68,370,782.39/8,417.60
  6. Step 6: Final answer
    x = 8,122.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.