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Finding the Fourth Proportional to 12,770.41, 17,623.02 and 7,105.14

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Solution

The fourth proportional to 12,770.41, 17,623.02 and 7,105.14 is: 9,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.41 : 17,623.02 = 7,105.14 : x
  2. Step 2: Convert to fraction form
    12,770.41/17,623.02 = 7,105.14/x
  3. Step 3: Cross multiply
    12,770.41x = 17,623.02 × 7,105.14
  4. Step 4: Simplify right side
    12,770.41x = 125,214,024.32
  5. Step 5: Solve for x
    x = 125,214,024.32/12,770.41
  6. Step 6: Final answer
    x = 9,805.01

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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.