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Finding the Fourth Proportional to 15,813.82, 23,732.96 and 5,962.06

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Solution

The fourth proportional to 15,813.82, 23,732.96 and 5,962.06 is: 8,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.82 : 23,732.96 = 5,962.06 : x
  2. Step 2: Convert to fraction form
    15,813.82/23,732.96 = 5,962.06/x
  3. Step 3: Cross multiply
    15,813.82x = 23,732.96 × 5,962.06
  4. Step 4: Simplify right side
    15,813.82x = 141,497,331.50
  5. Step 5: Solve for x
    x = 141,497,331.50/15,813.82
  6. Step 6: Final answer
    x = 8,947.70

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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.