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Finding the Fourth Proportional to 12,779.75, 17,633.40 and 7,473.54

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Solution

The fourth proportional to 12,779.75, 17,633.40 and 7,473.54 is: 10,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.75 : 17,633.40 = 7,473.54 : x
  2. Step 2: Convert to fraction form
    12,779.75/17,633.40 = 7,473.54/x
  3. Step 3: Cross multiply
    12,779.75x = 17,633.40 × 7,473.54
  4. Step 4: Simplify right side
    12,779.75x = 131,783,920.24
  5. Step 5: Solve for x
    x = 131,783,920.24/12,779.75
  6. Step 6: Final answer
    x = 10,311.93

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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.