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Finding the Fourth Proportional to 7,862.07, 11,789.37 and 4,576.08

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Solution

The fourth proportional to 7,862.07, 11,789.37 and 4,576.08 is: 6,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.07 : 11,789.37 = 4,576.08 : x
  2. Step 2: Convert to fraction form
    7,862.07/11,789.37 = 4,576.08/x
  3. Step 3: Cross multiply
    7,862.07x = 11,789.37 × 4,576.08
  4. Step 4: Simplify right side
    7,862.07x = 53,949,100.27
  5. Step 5: Solve for x
    x = 53,949,100.27/7,862.07
  6. Step 6: Final answer
    x = 6,861.95

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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.