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Finding the Fourth Proportional to 12,841.88, 17,716.14 and 7,534.31

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Solution

The fourth proportional to 12,841.88, 17,716.14 and 7,534.31 is: 10,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.88 : 17,716.14 = 7,534.31 : x
  2. Step 2: Convert to fraction form
    12,841.88/17,716.14 = 7,534.31/x
  3. Step 3: Cross multiply
    12,841.88x = 17,716.14 × 7,534.31
  4. Step 4: Simplify right side
    12,841.88x = 133,478,802.18
  5. Step 5: Solve for x
    x = 133,478,802.18/12,841.88
  6. Step 6: Final answer
    x = 10,394.03

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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.