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Finding the Fourth Proportional to 7,277.10, 9,832.73 and 7,277.10

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Solution

The fourth proportional to 7,277.10, 9,832.73 and 7,277.10 is: 9,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.10 : 9,832.73 = 7,277.10 : x
  2. Step 2: Convert to fraction form
    7,277.10/9,832.73 = 7,277.10/x
  3. Step 3: Cross multiply
    7,277.10x = 9,832.73 × 7,277.10
  4. Step 4: Simplify right side
    7,277.10x = 71,553,759.48
  5. Step 5: Solve for x
    x = 71,553,759.48/7,277.10
  6. Step 6: Final answer
    x = 9,832.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.