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Finding the Fourth Proportional to 6,717.63, 9,270.42 and 3,733.65

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Solution

The fourth proportional to 6,717.63, 9,270.42 and 3,733.65 is: 5,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.63 : 9,270.42 = 3,733.65 : x
  2. Step 2: Convert to fraction form
    6,717.63/9,270.42 = 3,733.65/x
  3. Step 3: Cross multiply
    6,717.63x = 9,270.42 × 3,733.65
  4. Step 4: Simplify right side
    6,717.63x = 34,612,503.63
  5. Step 5: Solve for x
    x = 34,612,503.63/6,717.63
  6. Step 6: Final answer
    x = 5,152.49

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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.