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Finding the Fourth Proportional to 6,497.01, 9,730.02 and 4,149.63

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Solution

The fourth proportional to 6,497.01, 9,730.02 and 4,149.63 is: 6,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.01 : 9,730.02 = 4,149.63 : x
  2. Step 2: Convert to fraction form
    6,497.01/9,730.02 = 4,149.63/x
  3. Step 3: Cross multiply
    6,497.01x = 9,730.02 × 4,149.63
  4. Step 4: Simplify right side
    6,497.01x = 40,375,998.45
  5. Step 5: Solve for x
    x = 40,375,998.45/6,497.01
  6. Step 6: Final answer
    x = 6,214.55

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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.