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Finding the Fourth Proportional to 11,583, 15,997.50 and 7,850.52

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Solution

The fourth proportional to 11,583, 15,997.50 and 7,850.52 is: 10,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 15,997.50 = 7,850.52 : x
  2. Step 2: Convert to fraction form
    11,583/15,997.50 = 7,850.52/x
  3. Step 3: Cross multiply
    11,583x = 15,997.50 × 7,850.52
  4. Step 4: Simplify right side
    11,583x = 125,588,693.70
  5. Step 5: Solve for x
    x = 125,588,693.70/11,583
  6. Step 6: Final answer
    x = 10,842.50

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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.