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Finding the Fourth Proportional to 6,748.64, 9,314.04 and 3,916.07

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Solution

The fourth proportional to 6,748.64, 9,314.04 and 3,916.07 is: 5,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.64 : 9,314.04 = 3,916.07 : x
  2. Step 2: Convert to fraction form
    6,748.64/9,314.04 = 3,916.07/x
  3. Step 3: Cross multiply
    6,748.64x = 9,314.04 × 3,916.07
  4. Step 4: Simplify right side
    6,748.64x = 36,474,432.62
  5. Step 5: Solve for x
    x = 36,474,432.62/6,748.64
  6. Step 6: Final answer
    x = 5,404.71

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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.