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Finding the Fourth Proportional to 11,779.41, 17,671.71 and 6,522.09

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Solution

The fourth proportional to 11,779.41, 17,671.71 and 6,522.09 is: 9,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.41 : 17,671.71 = 6,522.09 : x
  2. Step 2: Convert to fraction form
    11,779.41/17,671.71 = 6,522.09/x
  3. Step 3: Cross multiply
    11,779.41x = 17,671.71 × 6,522.09
  4. Step 4: Simplify right side
    11,779.41x = 115,256,483.07
  5. Step 5: Solve for x
    x = 115,256,483.07/11,779.41
  6. Step 6: Final answer
    x = 9,784.57

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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.