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Finding the Fourth Proportional to 11,166.51, 15,416.99 and 6,922.08

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Solution

The fourth proportional to 11,166.51, 15,416.99 and 6,922.08 is: 9,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166.51 : 15,416.99 = 6,922.08 : x
  2. Step 2: Convert to fraction form
    11,166.51/15,416.99 = 6,922.08/x
  3. Step 3: Cross multiply
    11,166.51x = 15,416.99 × 6,922.08
  4. Step 4: Simplify right side
    11,166.51x = 106,717,692.32
  5. Step 5: Solve for x
    x = 106,717,692.32/11,166.51
  6. Step 6: Final answer
    x = 9,556.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.