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Finding the Fourth Proportional to 11,446.53, 15,797.88 and 6,972.90

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Solution

The fourth proportional to 11,446.53, 15,797.88 and 6,972.90 is: 9,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.53 : 15,797.88 = 6,972.90 : x
  2. Step 2: Convert to fraction form
    11,446.53/15,797.88 = 6,972.90/x
  3. Step 3: Cross multiply
    11,446.53x = 15,797.88 × 6,972.90
  4. Step 4: Simplify right side
    11,446.53x = 110,157,037.45
  5. Step 5: Solve for x
    x = 110,157,037.45/11,446.53
  6. Step 6: Final answer
    x = 9,623.62

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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.