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Finding the Fourth Proportional to 12,779.76, 19,175.82 and 5,764.76

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Solution

The fourth proportional to 12,779.76, 19,175.82 and 5,764.76 is: 8,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.76 : 19,175.82 = 5,764.76 : x
  2. Step 2: Convert to fraction form
    12,779.76/19,175.82 = 5,764.76/x
  3. Step 3: Cross multiply
    12,779.76x = 19,175.82 × 5,764.76
  4. Step 4: Simplify right side
    12,779.76x = 110,544,000.10
  5. Step 5: Solve for x
    x = 110,544,000.10/12,779.76
  6. Step 6: Final answer
    x = 8,649.93

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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.