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Finding the Fourth Proportional to 4,507.86, 6,761.86 and 1,586.20

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Solution

The fourth proportional to 4,507.86, 6,761.86 and 1,586.20 is: 2,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.86 : 6,761.86 = 1,586.20 : x
  2. Step 2: Convert to fraction form
    4,507.86/6,761.86 = 1,586.20/x
  3. Step 3: Cross multiply
    4,507.86x = 6,761.86 × 1,586.20
  4. Step 4: Simplify right side
    4,507.86x = 10,725,662.33
  5. Step 5: Solve for x
    x = 10,725,662.33/4,507.86
  6. Step 6: Final answer
    x = 2,379.32

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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.