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Finding the Fourth Proportional to 9,877.94, 13,634.24 and 5,631.23

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Solution

The fourth proportional to 9,877.94, 13,634.24 and 5,631.23 is: 7,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.94 : 13,634.24 = 5,631.23 : x
  2. Step 2: Convert to fraction form
    9,877.94/13,634.24 = 5,631.23/x
  3. Step 3: Cross multiply
    9,877.94x = 13,634.24 × 5,631.23
  4. Step 4: Simplify right side
    9,877.94x = 76,777,513.16
  5. Step 5: Solve for x
    x = 76,777,513.16/9,877.94
  6. Step 6: Final answer
    x = 7,772.63

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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.