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Finding the Fourth Proportional to 7,246.26, 10,000.26 and 4,102.65

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Solution

The fourth proportional to 7,246.26, 10,000.26 and 4,102.65 is: 5,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.26 : 10,000.26 = 4,102.65 : x
  2. Step 2: Convert to fraction form
    7,246.26/10,000.26 = 4,102.65/x
  3. Step 3: Cross multiply
    7,246.26x = 10,000.26 × 4,102.65
  4. Step 4: Simplify right side
    7,246.26x = 41,027,566.69
  5. Step 5: Solve for x
    x = 41,027,566.69/7,246.26
  6. Step 6: Final answer
    x = 5,661.90

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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.