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Finding the Fourth Proportional to 12,866.24, 17,755.68 and 7,277.12

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Solution

The fourth proportional to 12,866.24, 17,755.68 and 7,277.12 is: 10,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.24 : 17,755.68 = 7,277.12 : x
  2. Step 2: Convert to fraction form
    12,866.24/17,755.68 = 7,277.12/x
  3. Step 3: Cross multiply
    12,866.24x = 17,755.68 × 7,277.12
  4. Step 4: Simplify right side
    12,866.24x = 129,210,214.04
  5. Step 5: Solve for x
    x = 129,210,214.04/12,866.24
  6. Step 6: Final answer
    x = 10,042.58

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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.