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Finding the Fourth Proportional to 6,905.68, 9,529.86 and 4,111

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Solution

The fourth proportional to 6,905.68, 9,529.86 and 4,111 is: 5,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.68 : 9,529.86 = 4,111 : x
  2. Step 2: Convert to fraction form
    6,905.68/9,529.86 = 4,111/x
  3. Step 3: Cross multiply
    6,905.68x = 9,529.86 × 4,111
  4. Step 4: Simplify right side
    6,905.68x = 39,177,254.46
  5. Step 5: Solve for x
    x = 39,177,254.46/6,905.68
  6. Step 6: Final answer
    x = 5,673.19

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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.