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Finding the Fourth Proportional to 12,297.96, 16,972.74 and 11,248.20

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Solution

The fourth proportional to 12,297.96, 16,972.74 and 11,248.20 is: 15,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.96 : 16,972.74 = 11,248.20 : x
  2. Step 2: Convert to fraction form
    12,297.96/16,972.74 = 11,248.20/x
  3. Step 3: Cross multiply
    12,297.96x = 16,972.74 × 11,248.20
  4. Step 4: Simplify right side
    12,297.96x = 190,912,774.07
  5. Step 5: Solve for x
    x = 190,912,774.07/12,297.96
  6. Step 6: Final answer
    x = 15,523.94

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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.