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Finding the Fourth Proportional to 11,446.10, 15,797.07 and 6,969.58

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Solution

The fourth proportional to 11,446.10, 15,797.07 and 6,969.58 is: 9,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.10 : 15,797.07 = 6,969.58 : x
  2. Step 2: Convert to fraction form
    11,446.10/15,797.07 = 6,969.58/x
  3. Step 3: Cross multiply
    11,446.10x = 15,797.07 × 6,969.58
  4. Step 4: Simplify right side
    11,446.10x = 110,098,943.13
  5. Step 5: Solve for x
    x = 110,098,943.13/11,446.10
  6. Step 6: Final answer
    x = 9,618.90

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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.