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Finding the Fourth Proportional to 6,097.40, 8,414.40 and 3,445.36

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Solution

The fourth proportional to 6,097.40, 8,414.40 and 3,445.36 is: 4,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.40 : 8,414.40 = 3,445.36 : x
  2. Step 2: Convert to fraction form
    6,097.40/8,414.40 = 3,445.36/x
  3. Step 3: Cross multiply
    6,097.40x = 8,414.40 × 3,445.36
  4. Step 4: Simplify right side
    6,097.40x = 28,990,637.18
  5. Step 5: Solve for x
    x = 28,990,637.18/6,097.40
  6. Step 6: Final answer
    x = 4,754.59

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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.