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Finding the Fourth Proportional to 6,141.69, 9,212.54 and 1,758.78

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Solution

The fourth proportional to 6,141.69, 9,212.54 and 1,758.78 is: 2,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.69 : 9,212.54 = 1,758.78 : x
  2. Step 2: Convert to fraction form
    6,141.69/9,212.54 = 1,758.78/x
  3. Step 3: Cross multiply
    6,141.69x = 9,212.54 × 1,758.78
  4. Step 4: Simplify right side
    6,141.69x = 16,202,822.31
  5. Step 5: Solve for x
    x = 16,202,822.31/6,141.69
  6. Step 6: Final answer
    x = 2,638.17

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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.