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Finding the Fourth Proportional to 6,205.25, 8,565.24 and 3,973.14

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Solution

The fourth proportional to 6,205.25, 8,565.24 and 3,973.14 is: 5,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.25 : 8,565.24 = 3,973.14 : x
  2. Step 2: Convert to fraction form
    6,205.25/8,565.24 = 3,973.14/x
  3. Step 3: Cross multiply
    6,205.25x = 8,565.24 × 3,973.14
  4. Step 4: Simplify right side
    6,205.25x = 34,030,912.55
  5. Step 5: Solve for x
    x = 34,030,912.55/6,205.25
  6. Step 6: Final answer
    x = 5,484.21

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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.