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Finding the Fourth Proportional to 6,746.46, 9,314.07 and 4,265.82

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Solution

The fourth proportional to 6,746.46, 9,314.07 and 4,265.82 is: 5,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.46 : 9,314.07 = 4,265.82 : x
  2. Step 2: Convert to fraction form
    6,746.46/9,314.07 = 4,265.82/x
  3. Step 3: Cross multiply
    6,746.46x = 9,314.07 × 4,265.82
  4. Step 4: Simplify right side
    6,746.46x = 39,732,146.09
  5. Step 5: Solve for x
    x = 39,732,146.09/6,746.46
  6. Step 6: Final answer
    x = 5,889.33

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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.