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Finding the Fourth Proportional to 8,534.91, 12,785.96 and 4,826.12

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Solution

The fourth proportional to 8,534.91, 12,785.96 and 4,826.12 is: 7,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.91 : 12,785.96 = 4,826.12 : x
  2. Step 2: Convert to fraction form
    8,534.91/12,785.96 = 4,826.12/x
  3. Step 3: Cross multiply
    8,534.91x = 12,785.96 × 4,826.12
  4. Step 4: Simplify right side
    8,534.91x = 61,706,621.31
  5. Step 5: Solve for x
    x = 61,706,621.31/8,534.91
  6. Step 6: Final answer
    x = 7,229.91

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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.