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Finding the Fourth Proportional to 15,751.84, 23,631.15 and 7,858.60

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Solution

The fourth proportional to 15,751.84, 23,631.15 and 7,858.60 is: 11,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751.84 : 23,631.15 = 7,858.60 : x
  2. Step 2: Convert to fraction form
    15,751.84/23,631.15 = 7,858.60/x
  3. Step 3: Cross multiply
    15,751.84x = 23,631.15 × 7,858.60
  4. Step 4: Simplify right side
    15,751.84x = 185,707,755.39
  5. Step 5: Solve for x
    x = 185,707,755.39/15,751.84
  6. Step 6: Final answer
    x = 11,789.59

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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.