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Finding the Fourth Proportional to 26,946.76, 40,418.70 and 9,416.20

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Solution

The fourth proportional to 26,946.76, 40,418.70 and 9,416.20 is: 14,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,946.76 : 40,418.70 = 9,416.20 : x
  2. Step 2: Convert to fraction form
    26,946.76/40,418.70 = 9,416.20/x
  3. Step 3: Cross multiply
    26,946.76x = 40,418.70 × 9,416.20
  4. Step 4: Simplify right side
    26,946.76x = 380,590,562.94
  5. Step 5: Solve for x
    x = 380,590,562.94/26,946.76
  6. Step 6: Final answer
    x = 14,123.80

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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.