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Finding the Fourth Proportional to 7,502.94, 11,241.63 and 4,207.86

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Solution

The fourth proportional to 7,502.94, 11,241.63 and 4,207.86 is: 6,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.94 : 11,241.63 = 4,207.86 : x
  2. Step 2: Convert to fraction form
    7,502.94/11,241.63 = 4,207.86/x
  3. Step 3: Cross multiply
    7,502.94x = 11,241.63 × 4,207.86
  4. Step 4: Simplify right side
    7,502.94x = 47,303,205.21
  5. Step 5: Solve for x
    x = 47,303,205.21/7,502.94
  6. Step 6: Final answer
    x = 6,304.62

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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.