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Finding the Fourth Proportional to 23,281.63, 34,922.44 and 7,699.25

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Solution

The fourth proportional to 23,281.63, 34,922.44 and 7,699.25 is: 11,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.63 : 34,922.44 = 7,699.25 : x
  2. Step 2: Convert to fraction form
    23,281.63/34,922.44 = 7,699.25/x
  3. Step 3: Cross multiply
    23,281.63x = 34,922.44 × 7,699.25
  4. Step 4: Simplify right side
    23,281.63x = 268,876,693.10
  5. Step 5: Solve for x
    x = 268,876,693.10/23,281.63
  6. Step 6: Final answer
    x = 11,548.88

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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.