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Finding the Fourth Proportional to 7,894.60, 11,826.30 and 5,123.20

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Solution

The fourth proportional to 7,894.60, 11,826.30 and 5,123.20 is: 7,674.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.60 : 11,826.30 = 5,123.20 : x
  2. Step 2: Convert to fraction form
    7,894.60/11,826.30 = 5,123.20/x
  3. Step 3: Cross multiply
    7,894.60x = 11,826.30 × 5,123.20
  4. Step 4: Simplify right side
    7,894.60x = 60,588,500.16
  5. Step 5: Solve for x
    x = 60,588,500.16/7,894.60
  6. Step 6: Final answer
    x = 7,674.68

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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.