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Finding the Fourth Proportional to 7,015.06, 9,682.03 and 4,182.61

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Solution

The fourth proportional to 7,015.06, 9,682.03 and 4,182.61 is: 5,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.06 : 9,682.03 = 4,182.61 : x
  2. Step 2: Convert to fraction form
    7,015.06/9,682.03 = 4,182.61/x
  3. Step 3: Cross multiply
    7,015.06x = 9,682.03 × 4,182.61
  4. Step 4: Simplify right side
    7,015.06x = 40,496,155.50
  5. Step 5: Solve for x
    x = 40,496,155.50/7,015.06
  6. Step 6: Final answer
    x = 5,772.75

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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.