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Finding the Fourth Proportional to 5,297.42, 7,946.13 and 2,009.73

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Solution

The fourth proportional to 5,297.42, 7,946.13 and 2,009.73 is: 3,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.42 : 7,946.13 = 2,009.73 : x
  2. Step 2: Convert to fraction form
    5,297.42/7,946.13 = 2,009.73/x
  3. Step 3: Cross multiply
    5,297.42x = 7,946.13 × 2,009.73
  4. Step 4: Simplify right side
    5,297.42x = 15,969,613.18
  5. Step 5: Solve for x
    x = 15,969,613.18/5,297.42
  6. Step 6: Final answer
    x = 3,014.60

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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.