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Finding the Fourth Proportional to 6,182.76, 8,532.12 and 3,529.98

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Solution

The fourth proportional to 6,182.76, 8,532.12 and 3,529.98 is: 4,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.76 : 8,532.12 = 3,529.98 : x
  2. Step 2: Convert to fraction form
    6,182.76/8,532.12 = 3,529.98/x
  3. Step 3: Cross multiply
    6,182.76x = 8,532.12 × 3,529.98
  4. Step 4: Simplify right side
    6,182.76x = 30,118,212.96
  5. Step 5: Solve for x
    x = 30,118,212.96/6,182.76
  6. Step 6: Final answer
    x = 4,871.32

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Half scale
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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.