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Finding the Fourth Proportional to 6,771.76, 9,345.18 and 4,785.82

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Solution

The fourth proportional to 6,771.76, 9,345.18 and 4,785.82 is: 6,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.76 : 9,345.18 = 4,785.82 : x
  2. Step 2: Convert to fraction form
    6,771.76/9,345.18 = 4,785.82/x
  3. Step 3: Cross multiply
    6,771.76x = 9,345.18 × 4,785.82
  4. Step 4: Simplify right side
    6,771.76x = 44,724,349.35
  5. Step 5: Solve for x
    x = 44,724,349.35/6,771.76
  6. Step 6: Final answer
    x = 6,604.54

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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.