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Finding the Fourth Proportional to 5,826.60, 8,730.99 and 4,364.82

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Solution

The fourth proportional to 5,826.60, 8,730.99 and 4,364.82 is: 6,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.60 : 8,730.99 = 4,364.82 : x
  2. Step 2: Convert to fraction form
    5,826.60/8,730.99 = 4,364.82/x
  3. Step 3: Cross multiply
    5,826.60x = 8,730.99 × 4,364.82
  4. Step 4: Simplify right side
    5,826.60x = 38,109,199.77
  5. Step 5: Solve for x
    x = 38,109,199.77/5,826.60
  6. Step 6: Final answer
    x = 6,540.56

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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.