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Finding the Fourth Proportional to 6,743.84, 9,312.91 and 6,375.69

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Solution

The fourth proportional to 6,743.84, 9,312.91 and 6,375.69 is: 8,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.84 : 9,312.91 = 6,375.69 : x
  2. Step 2: Convert to fraction form
    6,743.84/9,312.91 = 6,375.69/x
  3. Step 3: Cross multiply
    6,743.84x = 9,312.91 × 6,375.69
  4. Step 4: Simplify right side
    6,743.84x = 59,376,211.22
  5. Step 5: Solve for x
    x = 59,376,211.22/6,743.84
  6. Step 6: Final answer
    x = 8,804.52

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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.