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Finding the Fourth Proportional to 11,626.74, 17,431.74 and 5,701.32

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Solution

The fourth proportional to 11,626.74, 17,431.74 and 5,701.32 is: 8,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.74 : 17,431.74 = 5,701.32 : x
  2. Step 2: Convert to fraction form
    11,626.74/17,431.74 = 5,701.32/x
  3. Step 3: Cross multiply
    11,626.74x = 17,431.74 × 5,701.32
  4. Step 4: Simplify right side
    11,626.74x = 99,383,927.90
  5. Step 5: Solve for x
    x = 99,383,927.90/11,626.74
  6. Step 6: Final answer
    x = 8,547.88

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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.