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Finding the Fourth Proportional to 6,827.72, 9,420.57 and 4,174.16

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Solution

The fourth proportional to 6,827.72, 9,420.57 and 4,174.16 is: 5,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.72 : 9,420.57 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    6,827.72/9,420.57 = 4,174.16/x
  3. Step 3: Cross multiply
    6,827.72x = 9,420.57 × 4,174.16
  4. Step 4: Simplify right side
    6,827.72x = 39,322,966.47
  5. Step 5: Solve for x
    x = 39,322,966.47/6,827.72
  6. Step 6: Final answer
    x = 5,759.31

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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.