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Finding the Fourth Proportional to 6,605.60, 9,960.12 and 5,786.40

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Solution

The fourth proportional to 6,605.60, 9,960.12 and 5,786.40 is: 8,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.60 : 9,960.12 = 5,786.40 : x
  2. Step 2: Convert to fraction form
    6,605.60/9,960.12 = 5,786.40/x
  3. Step 3: Cross multiply
    6,605.60x = 9,960.12 × 5,786.40
  4. Step 4: Simplify right side
    6,605.60x = 57,633,238.37
  5. Step 5: Solve for x
    x = 57,633,238.37/6,605.60
  6. Step 6: Final answer
    x = 8,724.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.