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Finding the Fourth Proportional to 11,657.70, 17,486.55 and 6,992.10

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Solution

The fourth proportional to 11,657.70, 17,486.55 and 6,992.10 is: 10,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.70 : 17,486.55 = 6,992.10 : x
  2. Step 2: Convert to fraction form
    11,657.70/17,486.55 = 6,992.10/x
  3. Step 3: Cross multiply
    11,657.70x = 17,486.55 × 6,992.10
  4. Step 4: Simplify right side
    11,657.70x = 122,267,706.26
  5. Step 5: Solve for x
    x = 122,267,706.26/11,657.70
  6. Step 6: Final answer
    x = 10,488.15

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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.