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Finding the Fourth Proportional to 10,597.50, 15,896.25 and 3,301.50

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Solution

The fourth proportional to 10,597.50, 15,896.25 and 3,301.50 is: 4,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.50 : 15,896.25 = 3,301.50 : x
  2. Step 2: Convert to fraction form
    10,597.50/15,896.25 = 3,301.50/x
  3. Step 3: Cross multiply
    10,597.50x = 15,896.25 × 3,301.50
  4. Step 4: Simplify right side
    10,597.50x = 52,481,469.38
  5. Step 5: Solve for x
    x = 52,481,469.38/10,597.50
  6. Step 6: Final answer
    x = 4,952.25

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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.