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Finding the Fourth Proportional to 7,321.88, 10,973.64 and 3,157.16

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Solution

The fourth proportional to 7,321.88, 10,973.64 and 3,157.16 is: 4,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.88 : 10,973.64 = 3,157.16 : x
  2. Step 2: Convert to fraction form
    7,321.88/10,973.64 = 3,157.16/x
  3. Step 3: Cross multiply
    7,321.88x = 10,973.64 × 3,157.16
  4. Step 4: Simplify right side
    7,321.88x = 34,645,537.26
  5. Step 5: Solve for x
    x = 34,645,537.26/7,321.88
  6. Step 6: Final answer
    x = 4,731.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.