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Finding the Fourth Proportional to 8,523, 11,761.74 and 4,797.08

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Solution

The fourth proportional to 8,523, 11,761.74 and 4,797.08 is: 6,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 11,761.74 = 4,797.08 : x
  2. Step 2: Convert to fraction form
    8,523/11,761.74 = 4,797.08/x
  3. Step 3: Cross multiply
    8,523x = 11,761.74 × 4,797.08
  4. Step 4: Simplify right side
    8,523x = 56,422,007.72
  5. Step 5: Solve for x
    x = 56,422,007.72/8,523
  6. Step 6: Final answer
    x = 6,619.97

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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.