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Finding the Fourth Proportional to 12,863.79, 17,755.47 and 7,562.14

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Solution

The fourth proportional to 12,863.79, 17,755.47 and 7,562.14 is: 10,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.79 : 17,755.47 = 7,562.14 : x
  2. Step 2: Convert to fraction form
    12,863.79/17,755.47 = 7,562.14/x
  3. Step 3: Cross multiply
    12,863.79x = 17,755.47 × 7,562.14
  4. Step 4: Simplify right side
    12,863.79x = 134,269,305.52
  5. Step 5: Solve for x
    x = 134,269,305.52/12,863.79
  6. Step 6: Final answer
    x = 10,437.77

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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.