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Finding the Fourth Proportional to 7,805.97, 11,695.86 and 7,502.49

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Solution

The fourth proportional to 7,805.97, 11,695.86 and 7,502.49 is: 11,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.97 : 11,695.86 = 7,502.49 : x
  2. Step 2: Convert to fraction form
    7,805.97/11,695.86 = 7,502.49/x
  3. Step 3: Cross multiply
    7,805.97x = 11,695.86 × 7,502.49
  4. Step 4: Simplify right side
    7,805.97x = 87,748,072.69
  5. Step 5: Solve for x
    x = 87,748,072.69/7,805.97
  6. Step 6: Final answer
    x = 11,241.15

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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.