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Finding the Fourth Proportional to 5,826.63, 8,033.78 and 4,760.46

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Solution

The fourth proportional to 5,826.63, 8,033.78 and 4,760.46 is: 6,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.63 : 8,033.78 = 4,760.46 : x
  2. Step 2: Convert to fraction form
    5,826.63/8,033.78 = 4,760.46/x
  3. Step 3: Cross multiply
    5,826.63x = 8,033.78 × 4,760.46
  4. Step 4: Simplify right side
    5,826.63x = 38,244,488.34
  5. Step 5: Solve for x
    x = 38,244,488.34/5,826.63
  6. Step 6: Final answer
    x = 6,563.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.