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Finding the Fourth Proportional to 7,691.88, 11,537.76 and 4,402.64

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Solution

The fourth proportional to 7,691.88, 11,537.76 and 4,402.64 is: 6,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.88 : 11,537.76 = 4,402.64 : x
  2. Step 2: Convert to fraction form
    7,691.88/11,537.76 = 4,402.64/x
  3. Step 3: Cross multiply
    7,691.88x = 11,537.76 × 4,402.64
  4. Step 4: Simplify right side
    7,691.88x = 50,796,603.69
  5. Step 5: Solve for x
    x = 50,796,603.69/7,691.88
  6. Step 6: Final answer
    x = 6,603.93

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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.