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Finding the Fourth Proportional to 30,774.96, 46,164.69 and 11,053.68

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Solution

The fourth proportional to 30,774.96, 46,164.69 and 11,053.68 is: 16,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.96 : 46,164.69 = 11,053.68 : x
  2. Step 2: Convert to fraction form
    30,774.96/46,164.69 = 11,053.68/x
  3. Step 3: Cross multiply
    30,774.96x = 46,164.69 × 11,053.68
  4. Step 4: Simplify right side
    30,774.96x = 510,289,710.56
  5. Step 5: Solve for x
    x = 510,289,710.56/30,774.96
  6. Step 6: Final answer
    x = 16,581.33

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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.