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Finding the Fourth Proportional to 7,709.48, 11,567.74 and 4,194.21

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Solution

The fourth proportional to 7,709.48, 11,567.74 and 4,194.21 is: 6,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.48 : 11,567.74 = 4,194.21 : x
  2. Step 2: Convert to fraction form
    7,709.48/11,567.74 = 4,194.21/x
  3. Step 3: Cross multiply
    7,709.48x = 11,567.74 × 4,194.21
  4. Step 4: Simplify right side
    7,709.48x = 48,517,538.73
  5. Step 5: Solve for x
    x = 48,517,538.73/7,709.48
  6. Step 6: Final answer
    x = 6,293.24

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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.