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Finding the Fourth Proportional to 10,861.50, 16,292.25 and 2,653.50

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Solution

The fourth proportional to 10,861.50, 16,292.25 and 2,653.50 is: 3,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.50 : 16,292.25 = 2,653.50 : x
  2. Step 2: Convert to fraction form
    10,861.50/16,292.25 = 2,653.50/x
  3. Step 3: Cross multiply
    10,861.50x = 16,292.25 × 2,653.50
  4. Step 4: Simplify right side
    10,861.50x = 43,231,485.38
  5. Step 5: Solve for x
    x = 43,231,485.38/10,861.50
  6. Step 6: Final answer
    x = 3,980.25

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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.