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Finding the Fourth Proportional to 9,671.88, 13,359.42 and 7,157.64

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Solution

The fourth proportional to 9,671.88, 13,359.42 and 7,157.64 is: 9,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.88 : 13,359.42 = 7,157.64 : x
  2. Step 2: Convert to fraction form
    9,671.88/13,359.42 = 7,157.64/x
  3. Step 3: Cross multiply
    9,671.88x = 13,359.42 × 7,157.64
  4. Step 4: Simplify right side
    9,671.88x = 95,621,918.97
  5. Step 5: Solve for x
    x = 95,621,918.97/9,671.88
  6. Step 6: Final answer
    x = 9,886.59

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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.