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Finding the Fourth Proportional to 11,779.74, 16,253.04 and 6,999.42

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Solution

The fourth proportional to 11,779.74, 16,253.04 and 6,999.42 is: 9,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.74 : 16,253.04 = 6,999.42 : x
  2. Step 2: Convert to fraction form
    11,779.74/16,253.04 = 6,999.42/x
  3. Step 3: Cross multiply
    11,779.74x = 16,253.04 × 6,999.42
  4. Step 4: Simplify right side
    11,779.74x = 113,761,853.24
  5. Step 5: Solve for x
    x = 113,761,853.24/11,779.74
  6. Step 6: Final answer
    x = 9,657.42

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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.