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Finding the Fourth Proportional to 6,935.54, 10,405.93 and 4,164.15

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Solution

The fourth proportional to 6,935.54, 10,405.93 and 4,164.15 is: 6,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.54 : 10,405.93 = 4,164.15 : x
  2. Step 2: Convert to fraction form
    6,935.54/10,405.93 = 4,164.15/x
  3. Step 3: Cross multiply
    6,935.54x = 10,405.93 × 4,164.15
  4. Step 4: Simplify right side
    6,935.54x = 43,331,811.79
  5. Step 5: Solve for x
    x = 43,331,811.79/6,935.54
  6. Step 6: Final answer
    x = 6,247.79

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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.