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Finding the Fourth Proportional to 11,658.88, 17,488.48 and 6,497.56

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Solution

The fourth proportional to 11,658.88, 17,488.48 and 6,497.56 is: 9,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.88 : 17,488.48 = 6,497.56 : x
  2. Step 2: Convert to fraction form
    11,658.88/17,488.48 = 6,497.56/x
  3. Step 3: Cross multiply
    11,658.88x = 17,488.48 × 6,497.56
  4. Step 4: Simplify right side
    11,658.88x = 113,632,448.11
  5. Step 5: Solve for x
    x = 113,632,448.11/11,658.88
  6. Step 6: Final answer
    x = 9,746.43

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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.