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Finding the Fourth Proportional to 4,896.86, 6,757.67 and 2,658.74

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Solution

The fourth proportional to 4,896.86, 6,757.67 and 2,658.74 is: 3,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.86 : 6,757.67 = 2,658.74 : x
  2. Step 2: Convert to fraction form
    4,896.86/6,757.67 = 2,658.74/x
  3. Step 3: Cross multiply
    4,896.86x = 6,757.67 × 2,658.74
  4. Step 4: Simplify right side
    4,896.86x = 17,966,911.08
  5. Step 5: Solve for x
    x = 17,966,911.08/4,896.86
  6. Step 6: Final answer
    x = 3,669.07

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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.