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Finding the Fourth Proportional to 11,005.44, 15,192 and 8,206.08

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Solution

The fourth proportional to 11,005.44, 15,192 and 8,206.08 is: 11,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.44 : 15,192 = 8,206.08 : x
  2. Step 2: Convert to fraction form
    11,005.44/15,192 = 8,206.08/x
  3. Step 3: Cross multiply
    11,005.44x = 15,192 × 8,206.08
  4. Step 4: Simplify right side
    11,005.44x = 124,666,767.36
  5. Step 5: Solve for x
    x = 124,666,767.36/11,005.44
  6. Step 6: Final answer
    x = 11,327.74

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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.