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Finding the Fourth Proportional to 6,317.70, 8,717.82 and 6,105.48

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Solution

The fourth proportional to 6,317.70, 8,717.82 and 6,105.48 is: 8,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.70 : 8,717.82 = 6,105.48 : x
  2. Step 2: Convert to fraction form
    6,317.70/8,717.82 = 6,105.48/x
  3. Step 3: Cross multiply
    6,317.70x = 8,717.82 × 6,105.48
  4. Step 4: Simplify right side
    6,317.70x = 53,226,475.65
  5. Step 5: Solve for x
    x = 53,226,475.65/6,317.70
  6. Step 6: Final answer
    x = 8,424.98

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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.