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Finding the Fourth Proportional to 6,586.15, 9,879.21 and 3,074.98

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Solution

The fourth proportional to 6,586.15, 9,879.21 and 3,074.98 is: 4,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.15 : 9,879.21 = 3,074.98 : x
  2. Step 2: Convert to fraction form
    6,586.15/9,879.21 = 3,074.98/x
  3. Step 3: Cross multiply
    6,586.15x = 9,879.21 × 3,074.98
  4. Step 4: Simplify right side
    6,586.15x = 30,378,373.17
  5. Step 5: Solve for x
    x = 30,378,373.17/6,586.15
  6. Step 6: Final answer
    x = 4,612.46

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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.