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Finding the Fourth Proportional to 6,458.76, 9,680.01 and 3,497.09

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Solution

The fourth proportional to 6,458.76, 9,680.01 and 3,497.09 is: 5,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.76 : 9,680.01 = 3,497.09 : x
  2. Step 2: Convert to fraction form
    6,458.76/9,680.01 = 3,497.09/x
  3. Step 3: Cross multiply
    6,458.76x = 9,680.01 × 3,497.09
  4. Step 4: Simplify right side
    6,458.76x = 33,851,817.77
  5. Step 5: Solve for x
    x = 33,851,817.77/6,458.76
  6. Step 6: Final answer
    x = 5,241.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.