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Finding the Fourth Proportional to 4,859.93, 6,706.67 and 2,764.06

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Solution

The fourth proportional to 4,859.93, 6,706.67 and 2,764.06 is: 3,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.93 : 6,706.67 = 2,764.06 : x
  2. Step 2: Convert to fraction form
    4,859.93/6,706.67 = 2,764.06/x
  3. Step 3: Cross multiply
    4,859.93x = 6,706.67 × 2,764.06
  4. Step 4: Simplify right side
    4,859.93x = 18,537,607.69
  5. Step 5: Solve for x
    x = 18,537,607.69/4,859.93
  6. Step 6: Final answer
    x = 3,814.38

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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.