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Finding the Fourth Proportional to 14,265.84, 19,687.77 and 7,978.26

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Solution

The fourth proportional to 14,265.84, 19,687.77 and 7,978.26 is: 11,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,265.84 : 19,687.77 = 7,978.26 : x
  2. Step 2: Convert to fraction form
    14,265.84/19,687.77 = 7,978.26/x
  3. Step 3: Cross multiply
    14,265.84x = 19,687.77 × 7,978.26
  4. Step 4: Simplify right side
    14,265.84x = 157,074,147.88
  5. Step 5: Solve for x
    x = 157,074,147.88/14,265.84
  6. Step 6: Final answer
    x = 11,010.51

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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.