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Finding the Fourth Proportional to 11,855, 17,779.80 and 4,460.24

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Solution

The fourth proportional to 11,855, 17,779.80 and 4,460.24 is: 6,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855 : 17,779.80 = 4,460.24 : x
  2. Step 2: Convert to fraction form
    11,855/17,779.80 = 4,460.24/x
  3. Step 3: Cross multiply
    11,855x = 17,779.80 × 4,460.24
  4. Step 4: Simplify right side
    11,855x = 79,302,175.15
  5. Step 5: Solve for x
    x = 79,302,175.15/11,855
  6. Step 6: Final answer
    x = 6,689.34

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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.