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Finding the Fourth Proportional to 23,261.74, 34,899.94 and 7,690.30

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Solution

The fourth proportional to 23,261.74, 34,899.94 and 7,690.30 is: 11,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.74 : 34,899.94 = 7,690.30 : x
  2. Step 2: Convert to fraction form
    23,261.74/34,899.94 = 7,690.30/x
  3. Step 3: Cross multiply
    23,261.74x = 34,899.94 × 7,690.30
  4. Step 4: Simplify right side
    23,261.74x = 268,391,008.58
  5. Step 5: Solve for x
    x = 268,391,008.58/23,261.74
  6. Step 6: Final answer
    x = 11,537.87

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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.