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Finding the Fourth Proportional to 6,782.17, 10,174.17 and 6,372.11

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Solution

The fourth proportional to 6,782.17, 10,174.17 and 6,372.11 is: 9,559.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.17 : 10,174.17 = 6,372.11 : x
  2. Step 2: Convert to fraction form
    6,782.17/10,174.17 = 6,372.11/x
  3. Step 3: Cross multiply
    6,782.17x = 10,174.17 × 6,372.11
  4. Step 4: Simplify right side
    6,782.17x = 64,830,847.67
  5. Step 5: Solve for x
    x = 64,830,847.67/6,782.17
  6. Step 6: Final answer
    x = 9,559.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.