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Finding the Fourth Proportional to 6,137.64, 8,470 and 3,343.16

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Solution

The fourth proportional to 6,137.64, 8,470 and 3,343.16 is: 4,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.64 : 8,470 = 3,343.16 : x
  2. Step 2: Convert to fraction form
    6,137.64/8,470 = 3,343.16/x
  3. Step 3: Cross multiply
    6,137.64x = 8,470 × 3,343.16
  4. Step 4: Simplify right side
    6,137.64x = 28,316,565.20
  5. Step 5: Solve for x
    x = 28,316,565.20/6,137.64
  6. Step 6: Final answer
    x = 4,613.59

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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.