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Finding the Fourth Proportional to 12,874.49, 17,765.32 and 7,208.45

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Solution

The fourth proportional to 12,874.49, 17,765.32 and 7,208.45 is: 9,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.49 : 17,765.32 = 7,208.45 : x
  2. Step 2: Convert to fraction form
    12,874.49/17,765.32 = 7,208.45/x
  3. Step 3: Cross multiply
    12,874.49x = 17,765.32 × 7,208.45
  4. Step 4: Simplify right side
    12,874.49x = 128,060,296.09
  5. Step 5: Solve for x
    x = 128,060,296.09/12,874.49
  6. Step 6: Final answer
    x = 9,946.83

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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.