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Finding the Fourth Proportional to 6,011.76, 8,297.04 and 5,853.84

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Solution

The fourth proportional to 6,011.76, 8,297.04 and 5,853.84 is: 8,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.76 : 8,297.04 = 5,853.84 : x
  2. Step 2: Convert to fraction form
    6,011.76/8,297.04 = 5,853.84/x
  3. Step 3: Cross multiply
    6,011.76x = 8,297.04 × 5,853.84
  4. Step 4: Simplify right side
    6,011.76x = 48,569,544.63
  5. Step 5: Solve for x
    x = 48,569,544.63/6,011.76
  6. Step 6: Final answer
    x = 8,079.09

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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.