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Finding the Fourth Proportional to 11,779.58, 16,255.94 and 6,402.01

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Solution

The fourth proportional to 11,779.58, 16,255.94 and 6,402.01 is: 8,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.58 : 16,255.94 = 6,402.01 : x
  2. Step 2: Convert to fraction form
    11,779.58/16,255.94 = 6,402.01/x
  3. Step 3: Cross multiply
    11,779.58x = 16,255.94 × 6,402.01
  4. Step 4: Simplify right side
    11,779.58x = 104,070,753.90
  5. Step 5: Solve for x
    x = 104,070,753.90/11,779.58
  6. Step 6: Final answer
    x = 8,834.85

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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.