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Finding the Fourth Proportional to 11,665.65, 17,503.64 and 6,117.67

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Solution

The fourth proportional to 11,665.65, 17,503.64 and 6,117.67 is: 9,179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.65 : 17,503.64 = 6,117.67 : x
  2. Step 2: Convert to fraction form
    11,665.65/17,503.64 = 6,117.67/x
  3. Step 3: Cross multiply
    11,665.65x = 17,503.64 × 6,117.67
  4. Step 4: Simplify right side
    11,665.65x = 107,081,493.32
  5. Step 5: Solve for x
    x = 107,081,493.32/11,665.65
  6. Step 6: Final answer
    x = 9,179.21

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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.