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Finding the Fourth Proportional to 12,297.60, 18,452.16 and 7,113.60

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Solution

The fourth proportional to 12,297.60, 18,452.16 and 7,113.60 is: 10,673.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.60 : 18,452.16 = 7,113.60 : x
  2. Step 2: Convert to fraction form
    12,297.60/18,452.16 = 7,113.60/x
  3. Step 3: Cross multiply
    12,297.60x = 18,452.16 × 7,113.60
  4. Step 4: Simplify right side
    12,297.60x = 131,261,285.38
  5. Step 5: Solve for x
    x = 131,261,285.38/12,297.60
  6. Step 6: Final answer
    x = 10,673.73

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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.