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Finding the Fourth Proportional to 26,874.50, 40,311.76 and 10,458.50

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Solution

The fourth proportional to 26,874.50, 40,311.76 and 10,458.50 is: 15,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.50 : 40,311.76 = 10,458.50 : x
  2. Step 2: Convert to fraction form
    26,874.50/40,311.76 = 10,458.50/x
  3. Step 3: Cross multiply
    26,874.50x = 40,311.76 × 10,458.50
  4. Step 4: Simplify right side
    26,874.50x = 421,600,541.96
  5. Step 5: Solve for x
    x = 421,600,541.96/26,874.50
  6. Step 6: Final answer
    x = 15,687.75

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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.